svasta nesto

docs/.~lock.ispitni_rezultati.ods#

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+,marockaspark,localhost.localdomain,07.09.2025 00:19,file:///home/marockaspark/.config/libreoffice/4;

docs/ispitni_rezultati.csv

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+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],A_min [mm^2],A_max,Fm kN],Sigma [Mpa],Sigma’,SNR [dB]
+1,Orijentacija 1,0.08,0.4,20.00%,2,100,44.493,,0.778,7.78,17.4858966579012,17.8195919397938
+2,Orijentacija 1,0.08,0.6,55.00%,4,100,87.819,,3.299,32.99,37.5659025951104,30.3676463109069
+3,Orijentacija 1,0.08,0.8,85.00%,6,100,100,,0.794,7.94,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4,55.00%,6,100,87.6308,,2.792,27.92,31.8609438690506,28.9183082790225
+5,Orijentacija 1,0.14,0.6,85.00%,2,100,91.5613,,2.468,24.68,26.9546194735112,27.8469031072241
+6,Orijentacija 1,0.14,0.8,20.00%,4,100,93.9905,,2.871,28.71,30.5456402508764,29.1606638499301
+7,Orijentacija 1,0.28,0.4,85.00%,4,100,92.7473,,2.423,24.23,26.1247497231725,27.6870682827501
+8,Orijentacija 1,0.28,0.6,20.00%,6,100,96.3896,,1.891,18.91,19.6182990696092,25.5338305769008
+9,Orijentacija 1,0.28,0.8,55.00%,2,100,79.2649,,2.431,24.31,30.6693126465813,27.7156991768667
+10,Orijentacija 2,0.08,0.4,85.00%,4,100,35.669,,3.398,33.98,95.264795761025,30.6244674906605
+11,Orijentacija 2,0.08,0.6,20.00%,6,100,36.045,,3.218,32.18,89.277292273547,30.1517207952602
+12,Orijentacija 2,0.08,0.8,55.00%,2,100,26.908,,2.768,27.68,102.869035231158,28.8433217156944
+13,Orijentacija 2,0.14,0.4,20.00%,6,100,32.415,,2.472,24.72,76.2609902822767,27.8609693283356
+14,Orijentacija 2,0.14,0.6,55.00%,2,100,24.155,,2.527,25.27,104.616021527634,28.0521048383983
+15,Orijentacija 2,0.14,0.8,85.00%,4,100,42.804,,3.647,36.47,85.2023175404168,31.2387152662756
+16,Orijentacija 2,0.28,0.4,55.00%,4,100,26.909,,2.491,24.91,92.5712586866848,27.9274745507301
+17,Orijentacija 2,0.28,0.6,85.00%,6,100,44.555,,4.111,41.11,92.2679833913141,32.278949535607
+18,Orijentacija 2,0.28,0.8,20.00%,2,100,15.895,,2.263,22.63,142.371815036175,27.0936910790946

docs/obrada/ispitni_rezultati.csv

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+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],Fm kN],Sigma [Mpa],SNR [dB]
+1,Orijentacija 1,0.08,0.4 mm,20.00%,2,100,0.778,7.78,17.8195919397938
+2,Orijentacija 1,0.08,0.6 mm,55.00%,4,100,3.299,32.99,30.3676463109069
+3,Orijentacija 1,0.08,0.8 mm,85.00%,6,100,0.794,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4 mm,55.00%,6,100,2.792,27.92,28.9183082790225
+5,Orijentacija 1,0.14,0.6 mm,85.00%,2,100,2.468,24.68,27.8469031072241
+6,Orijentacija 1,0.14,0.8 mm,20.00%,4,100,2.871,28.71,29.1606638499301
+7,Orijentacija 1,0.28,0.4 mm,85.00%,4,100,2.423,24.23,27.6870682827501
+8,Orijentacija 1,0.28,0.6 mm,20.00%,6,100,1.891,18.91,25.5338305769008
+9,Orijentacija 1,0.28,0.8 mm,55.00%,2,100,2.431,24.31,27.7156991768667
+10,Orijentacija 2,0.08,0.4 mm,85.00%,4,100,3.398,33.98,30.6244674906605
+11,Orijentacija 2,0.08,0.6 mm,20.00%,6,100,3.218,32.18,30.1517207952602
+12,Orijentacija 2,0.08,0.8 mm,55.00%,2,100,2.768,27.68,28.8433217156944
+13,Orijentacija 2,0.14,0.4 mm,20.00%,6,100,2.472,24.72,27.8609693283356
+14,Orijentacija 2,0.14,0.6 mm,55.00%,2,100,2.527,25.27,28.0521048383983
+15,Orijentacija 2,0.14,0.8 mm,85.00%,4,100,3.647,36.47,31.2387152662756
+16,Orijentacija 2,0.28,0.4 mm,55.00%,4,100,2.491,24.91,27.9274745507301
+17,Orijentacija 2,0.28,0.6 mm,85.00%,6,100,4.111,41.11,32.278949535607
+18,Orijentacija 2,0.28,0.8 mm,20.00%,2,100,2.263,22.63,27.0936910790946

docs/obrada/ispitni_rezultati_taguchi_out/0_raw_with_SNR.csv

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+Eksperiment,Orijentacija,Visina sloja [mm],Širina ekstruzije [mm],Postotak ispune [%],Broj stijenki,A_ekv [mm^2],Fm kN],Sigma [Mpa],SNR [dB],SNR_LB [dB]
+1,Orijentacija 1,0.08,0.4,20.0,2.0,100.0,0.778,7.78,17.8195919397938,17.81959193979378
+2,Orijentacija 1,0.08,0.6,55.0,4.0,100.0,3.299,32.99,30.3676463109069,30.367646310906878
+3,Orijentacija 1,0.08,0.8,85.0,6.0,100.0,0.794,7.94,17.9964100485419,17.996410048541925
+4,Orijentacija 1,0.14,0.4,55.0,6.0,100.0,2.792,27.92,28.9183082790225,28.91830827902247
+5,Orijentacija 1,0.14,0.6,85.0,2.0,100.0,2.468,24.68,27.8469031072241,27.84690310722408
+6,Orijentacija 1,0.14,0.8,20.0,4.0,100.0,2.871,28.71,29.1606638499301,29.16066384993012
+7,Orijentacija 1,0.28,0.4,85.0,4.0,100.0,2.423,24.23,27.6870682827501,27.687068282750126
+8,Orijentacija 1,0.28,0.6,20.0,6.0,100.0,1.891,18.91,25.5338305769008,25.533830576900797
+9,Orijentacija 1,0.28,0.8,55.0,2.0,100.0,2.431,24.31,27.7156991768667,27.715699176866714
+10,Orijentacija 2,0.08,0.4,85.0,4.0,100.0,3.398,33.98,30.6244674906605,30.624467490660535
+11,Orijentacija 2,0.08,0.6,20.0,6.0,100.0,3.218,32.18,30.1517207952602,30.151720795260214
+12,Orijentacija 2,0.08,0.8,55.0,2.0,100.0,2.768,27.68,28.8433217156944,28.843321715694405
+13,Orijentacija 2,0.14,0.4,20.0,6.0,100.0,2.472,24.72,27.8609693283356,27.860969328335564
+14,Orijentacija 2,0.14,0.6,55.0,2.0,100.0,2.527,25.27,28.0521048383983,28.052104838398293
+15,Orijentacija 2,0.14,0.8,85.0,4.0,100.0,3.647,36.47,31.2387152662756,31.238715266275626
+16,Orijentacija 2,0.28,0.4,55.0,4.0,100.0,2.491,24.91,27.9274745507301,27.92747455073013
+17,Orijentacija 2,0.28,0.6,85.0,6.0,100.0,4.111,41.11,32.278949535607,32.27894953560699
+18,Orijentacija 2,0.28,0.8,20.0,2.0,100.0,2.263,22.63,27.0936910790946,27.09369107909457

docs/obrada/ispitni_rezultati_taguchi_out/1_response_means_Sigma.csv

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+Orijentacija,Sigma [Mpa],Delta (max-min),Faktor,Visina sloja [mm],Širina ekstruzije [mm],Postotak ispune [%],Broj stijenki
+Orijentacija 1,21.941111111111113,7.94222222222222,Orijentacija,,,,
+Orijentacija 2,29.883333333333333,7.94222222222222,Orijentacija,,,,
+,23.758333333333336,4.203333333333326,Visina sloja [mm],0.08,,,
+,27.961666666666662,4.203333333333326,Visina sloja [mm],0.14,,,
+,26.016666666666666,4.203333333333326,Visina sloja [mm],0.28,,,
+,23.923333333333332,5.266666666666666,Širina ekstruzije [mm],,0.4,,
+,29.189999999999998,5.266666666666666,Širina ekstruzije [mm],,0.6,,
+,24.623333333333335,5.266666666666666,Širina ekstruzije [mm],,0.8,,
+,22.488333333333333,5.579999999999998,Postotak ispune [%],,,20.0,
+,27.180000000000003,5.579999999999998,Postotak ispune [%],,,55.0,
+,28.06833333333333,5.579999999999998,Postotak ispune [%],,,85.0,
+,22.058333333333334,8.156666666666666,Broj stijenki,,,,2.0
+,30.215,8.156666666666666,Broj stijenki,,,,4.0
+,25.463333333333335,8.156666666666666,Broj stijenki,,,,6.0

docs/obrada/ispitni_rezultati_taguchi_out/2_response_means_SNR.csv

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+Orijentacija,SNR_LB [dB],Delta (max-min),Faktor,Visina sloja [mm],Širina ekstruzije [mm],Postotak ispune [%],Broj stijenki
+Orijentacija 1,25.894013507992987,3.4472547809021563,Orijentacija,,,,
+Orijentacija 2,29.341268288895144,3.4472547809021563,Orijentacija,,,,
+,25.967193050142956,2.879084394721403,Visina sloja [mm],0.08,,,
+,28.84627744486436,2.879084394721403,Visina sloja [mm],0.14,,,
+,28.039452200324888,2.879084394721403,Visina sloja [mm],0.28,,,
+,26.806313311882104,2.232212548834106,Širina ekstruzije [mm],,0.4,,
+,29.03852586071621,2.232212548834106,Širina ekstruzije [mm],,0.6,,
+,27.008083522733894,2.232212548834106,Širina ekstruzije [mm],,0.8,,
+,26.270077928219177,2.3673478837173043,Postotak ispune [%],,,20.0,
+,28.63742581193648,2.3673478837173043,Postotak ispune [%],,,55.0,
+,27.945418955176546,2.3673478837173043,Postotak ispune [%],,,85.0,
+,26.22855197617864,3.272453982363597,Broj stijenki,,,,2.0
+,29.501005958542237,3.272453982363597,Broj stijenki,,,,4.0
+,27.123364760611327,3.272453982363597,Broj stijenki,,,,6.0

docs/obrada/ispitni_rezultati_taguchi_out/3_factor_ranking.csv

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+Faktor,Rang delta (Sigma),Rang delta (SNR)
+Broj stijenki,8.156666666666666,3.272453982363597
+Orijentacija,7.94222222222222,3.4472547809021563
+Postotak ispune [%],5.579999999999998,2.3673478837173043
+Širina ekstruzije [mm],5.266666666666666,2.232212548834106
+Visina sloja [mm],4.203333333333326,2.879084394721403

docs/obrada/ispitni_rezultati_taguchi_out/4_optimal_levels.csv

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+Faktor,Optimalna razina (po S/N)
+Orijentacija,Orijentacija 2
+Visina sloja [mm],0.14
+Širina ekstruzije [mm],0.6
+Postotak ispune [%],55.0
+Broj stijenki,4.0

docs/obrada/ispitni_rezultati_taguchi_out/5_prediction.csv

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+Predikcija,Vrijednost
+Sigma_opt [MPa],40.781111111111116
+SNR_opt [dB],34.893939771178154
+Grand mean Sigma [MPa],25.912222222222223
+Grand mean SNR [dB],27.61764089844407

docs/obrada/ispitni_rezultati_taguchi_out/6_anova_sigma.csv

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+Factor,SS,DOF,MS,Pct_contrib_%
+Orijentacija,283.8550222222221,1,283.8550222222221,23.01723952764538
+Visina sloja [mm],53.10221111111093,2,26.551105555555466,4.305952746663593
+Širina ekstruzije [mm],98.16444444444437,2,49.082222222222185,7.959959676553248
+Postotak ispune [%],107.87454444444445,2,53.93727222222223,8.747332384591576
+Broj stijenki,201.40714444444444,2,100.70357222222222,16.33170500195548
+Error,488.8245444444449,8,61.10306805555561,39.63781066259073

docs/obrada/ispitni_rezultati_taguchi_out/summary.json

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+{
+  "outdir": "ispitni_rezultati_taguchi_out",
+  "factors": [
+    "Orijentacija",
+    "Visina sloja [mm]",
+    "Širina ekstruzije [mm]",
+    "Postotak ispune [%]",
+    "Broj stijenki"
+  ],
+  "opt_levels": {
+    "Orijentacija": "Orijentacija 2",
+    "Visina sloja [mm]": 0.14,
+    "Širina ekstruzije [mm]": 0.6,
+    "Postotak ispune [%]": 55.0,
+    "Broj stijenki": 4.0
+  },
+  "pred_sigma": 40.781111111111116,
+  "grand_mean_sigma": 25.912222222222223
+}

docs/obrada/ispitni_rezultati_taguchi_out/taguchi_results.tex

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+% --- Taguchi rezultati (S = Sigma [MPa], S/N larger-the-better) ---
+
+\subsection{Rezultati Taguchijeve metode}
+
+U skladu s ortogonalnom matricom provedena je analiza s kriterijem \textbf{što-veće-to-bolje}. Za svaku kombinaciju izračunat je S/N omjer \((\mathrm{S/N}=20\log_{10}(\sigma))\) te su određeni glavni učinci po razinama i optimalna kombinacija.
+
+\paragraph{Optimalne razine (po S/N).}
+
+\begin{tabular}{ll}
+\toprule
+Faktor & Optimalna razina (po S/N) \\
+\midrule
+Orijentacija & Orijentacija 2 \\
+Visina sloja [mm] & 0.140000 \\
+Širina ekstruzije [mm] & 0.600000 \\
+Postotak ispune [%] & 55.000000 \\
+Broj stijenki & 4.000000 \\
+\bottomrule
+\end{tabular}
+
+
+\paragraph{Predikcija odziva na optimalnoj kombinaciji.}
+
+\begin{tabular}{lr}
+\toprule
+Predikcija & Vrijednost \\
+\midrule
+Sigma_opt [MPa] & 40.78 \\
+SNR_opt [dB] & 34.89 \\
+Grand mean Sigma [MPa] & 25.91 \\
+Grand mean SNR [dB] & 27.62 \\
+\bottomrule
+\end{tabular}
+
+
+\paragraph{Rang utjecaja faktora.}
+
+\begin{tabular}{lrr}
+\toprule
+Faktor & Rang delta (Sigma) & Rang delta (SNR) \\
+\midrule
+Broj stijenki & 8.157 & 3.272 \\
+Orijentacija & 7.942 & 3.447 \\
+Postotak ispune [%] & 5.580 & 2.367 \\
+Širina ekstruzije [mm] & 5.267 & 2.232 \\
+Visina sloja [mm] & 4.203 & 2.879 \\
+\bottomrule
+\end{tabular}
+
+
+\paragraph{ANOVA (Taguchi).}
+
+\begin{tabular}{lrrrr}
+\toprule
+Factor & SS & DOF & MS & Pct_contrib_% \\
+\midrule
+Orijentacija & 283.855000 & 1 & 283.855000 & 23.017000 \\
+Visina sloja [mm] & 53.102000 & 2 & 26.551000 & 4.306000 \\
+Širina ekstruzije [mm] & 98.164000 & 2 & 49.082000 & 7.960000 \\
+Postotak ispune [%] & 107.875000 & 2 & 53.937000 & 8.747000 \\
+Broj stijenki & 201.407000 & 2 & 100.704000 & 16.332000 \\
+Error & 488.825000 & 8 & 61.103000 & 39.638000 \\
+\bottomrule
+\end{tabular}
+
+
+Napomena: budući da je \(n{=}1\), pogreška (Error) procijenjena je iz preostalih stupnjeva slobode (Taguchi pooling).

docs/obrada/obrada.py

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+
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Taguchi analysis pipeline for FDM experiment (per user's thesis)
+- Reads a CSV with columns similar to:
+  'Eksperiment','Orijentacija','Visina sloja','Širina ekstruzije','Postotak ispune',
+  'Broj slojeva stijenke','A_ekv [mm^2]','Fm kN]','Sigma [Mpa]','SNR [dB]'
+- Cleans units to numeric, recomputes Sigma (optional) and SNR (LB, n=1),
+- Builds response tables (means, Δ), ranks factors, selects optimal levels by SNR,
+- Predicts response at optimal combination (additive model),
+- Runs Taguchi-style ANOVA on Sigma,
+- Saves CSV outputs + main-effects plots + LaTeX snippet.
+Usage:
+    python taguchi_from_csv.py --input ispitni_rezultati.csv --outdir out_tlak
+"""
+import argparse, os, re, json
+import pandas as pd
+import numpy as np
+import matplotlib.pyplot as plt
+
+def norm_num(x):
+    if pd.isna(x):
+        return np.nan
+    if isinstance(x, (int, float, np.number)):
+        return float(x)
+    s = str(x).strip()
+    s = s.replace(',', '.')
+    s = s.replace('%','')
+    s = s.replace(' mm','')
+    s = s.replace('MPa','').replace('Mpa','')
+    s = s.replace('kN','').replace('kN]','').replace('[','').replace(']','')
+    try:
+        return float(s)
+    except:
+        return np.nan
+
+def compute_snr_lb(y):
+    # larger-the-better; handles n=1 case
+    y = pd.to_numeric(y, errors='coerce')
+    return 20.0*np.log10(y.clip(lower=1e-12))
+
+def response_table(df, factor, col):
+    t = df.groupby(factor, as_index=False)[col].mean()
+    t["Delta (max-min)"] = t[col].max() - t[col].min()
+    t["Faktor"] = factor
+    return t
+
+def taguchi_anova(df, response, factors):
+    y = df[response].astype(float)
+    mu = y.mean()
+    total_ss = ((y - mu)**2).sum()
+    rows = []
+    dof_used = 0
+    ss_used = 0.0
+    for f in factors:
+        grp = df.groupby(f)[response].agg(['mean','count'])
+        ss_f = (grp['count']*(grp['mean']-mu)**2).sum()
+        dof_f = grp.shape[0]-1
+        rows.append([f, ss_f, dof_f])
+        dof_used += dof_f
+        ss_used += ss_f
+    err_ss = max(total_ss - ss_used, 0.0)
+    err_dof = max(len(df)-1 - dof_used, 0)
+    an = pd.DataFrame(rows, columns=["Factor","SS","DOF"])
+    an["MS"] = an["SS"]/an["DOF"]
+    an["Pct_contrib_%"] = (an["SS"]/total_ss*100.0) if total_ss>0 else np.nan
+    err_row = pd.DataFrame([["Error", err_ss, err_dof, (err_ss/err_dof) if err_dof>0 else np.nan, (err_ss/total_ss*100.0) if total_ss>0 else np.nan]],
+                           columns=["Factor","SS","DOF","MS","Pct_contrib_%"])
+    an = pd.concat([an, err_row], ignore_index=True)
+    return an, mu, total_ss
+
+def main():
+    ap = argparse.ArgumentParser()
+    ap.add_argument("--input", required=True, help="Path to CSV with results")
+    ap.add_argument("--outdir", default=None, help="Output directory")
+    ap.add_argument("--response", default="Sigma [Mpa]", help="Response column to analyze (default Sigma [Mpa])")
+    ap.add_argument("--area_col", default="A_ekv [mm^2]", help="Area column if Sigma should be recomputed from Fm/Area")
+    ap.add_argument("--fm_col", default="Fm kN]", help="Force column (kN)")
+    ap.add_argument("--recompute_sigma", action="store_true", help="If set, recompute Sigma = Fm*1000/Area")
+    ap.add_argument("--sn_type", default="LB", choices=["LB"], help="S/N type (only LB supported here)")
+    args = ap.parse_args()
+
+    in_path = args.input
+    outdir = args.outdir or (os.path.splitext(os.path.basename(in_path))[0] + "_taguchi_out")
+    os.makedirs(outdir, exist_ok=True)
+
+    df = pd.read_csv(in_path)
+
+    # Standard column mapping / cleanup for known names
+    rename_map = {
+        "Visina sloja":"Visina sloja [mm]",
+        "Širina ekstruzije":"Širina ekstruzije [mm]",
+        "Postotak ispune":"Postotak ispune [%]",
+        "Broj slojeva stijenke":"Broj stijenki",
+        "Sigma [MPa]":"Sigma [Mpa]",
+        "Fm [kN]":"Fm kN]",
+    }
+    df = df.rename(columns={k:v for k,v in rename_map.items() if k in df.columns})
+
+    # Ensure numeric for relevant columns
+    if "Visina sloja [mm]" in df.columns:
+        df["Visina sloja [mm]"] = df["Visina sloja [mm]"].apply(norm_num)
+    if "Širina ekstruzije [mm]" in df.columns:
+        df["Širina ekstruzije [mm]"] = df["Širina ekstruzije [mm]"].apply(norm_num)
+    if "Postotak ispune [%]" in df.columns:
+        df["Postotak ispune [%]"] = df["Postotak ispune [%]"].apply(norm_num)
+    if "Broj stijenki" in df.columns:
+        df["Broj stijenki"] = df["Broj stijenki"].apply(norm_num)
+    if args.area_col in df.columns:
+        df[args.area_col] = df[args.area_col].apply(norm_num)
+    if args.fm_col in df.columns:
+        df[args.fm_col] = df[args.fm_col].apply(norm_num)
+    if args.response in df.columns:
+        df[args.response] = df[args.response].apply(norm_num)
+
+    # Compute Sigma if asked or missing
+    if args.recompute_sigma or args.response not in df.columns or df[args.response].isna().all():
+        if args.fm_col in df.columns and args.area_col in df.columns:
+            df[args.response] = (df[args.fm_col] * 1000.0) / df[args.area_col]
+        else:
+            raise SystemExit("Cannot recompute Sigma: missing Fm or Area columns")
+
+    # Compute SNR (LB)
+    df["SNR_LB [dB]"] = compute_snr_lb(df[args.response])
+
+    # Save cleaned raw
+    raw_out = os.path.join(outdir, "0_raw_with_SNR.csv")
+    df.to_csv(raw_out, index=False)
+
+    # Factors to analyze (auto detect from known list)
+    candidate_factors = ["Orijentacija","Visina sloja [mm]","Širina ekstruzije [mm]","Postotak ispune [%]","Broj stijenki"]
+    factors = [f for f in candidate_factors if f in df.columns]
+    if len(factors) == 0:
+        raise SystemExit("No known factor columns found. Expected some of: " + ", ".join(candidate_factors))
+
+    # Response tables and deltas
+    resp_mu = pd.concat([response_table(df, f, args.response) for f in factors], ignore_index=True)
+    resp_sn = pd.concat([response_table(df, f, "SNR_LB [dB]") for f in factors], ignore_index=True)
+    resp_mu.to_csv(os.path.join(outdir, "1_response_means_Sigma.csv"), index=False)
+    resp_sn.to_csv(os.path.join(outdir, "2_response_means_SNR.csv"), index=False)
+
+    # Ranking (by Delta)
+    rank_mu = resp_mu.groupby("Faktor")["Delta (max-min)"].max().sort_values(ascending=False).reset_index().rename(columns={"Delta (max-min)":"Rang delta (Sigma)"})
+    rank_sn = resp_sn.groupby("Faktor")["Delta (max-min)"].max().sort_values(ascending=False).reset_index().rename(columns={"Delta (max-min)":"Rang delta (SNR)"})
+    ranking = pd.merge(rank_mu, rank_sn, on="Faktor")
+    ranking.to_csv(os.path.join(outdir, "3_factor_ranking.csv"), index=False)
+
+    # Optimal levels by SNR
+    opt_levels = {f: df.groupby(f)["SNR_LB [dB]"].mean().sort_values(ascending=False).index[0] for f in factors}
+    opt_table = pd.DataFrame({"Faktor": list(opt_levels.keys()), "Optimalna razina (po S/N)": list(opt_levels.values())})
+    opt_table.to_csv(os.path.join(outdir, "4_optimal_levels.csv"), index=False)
+
+    # Prediction at optimal combo (additive model) on response
+    grand_mean = df[args.response].mean()
+    k = len(factors)
+    pred_sigma = sum(df.groupby(f)[args.response].mean().loc[opt_levels[f]] for f in factors) - (k-1)*grand_mean
+    grand_mean_snr = df["SNR_LB [dB]"].mean()
+    pred_snr = sum(df.groupby(f)["SNR_LB [dB]"].mean().loc[opt_levels[f]] for f in factors) - (k-1)*grand_mean_snr
+    pred_df = pd.DataFrame({
+        "Predikcija": ["Sigma_opt [MPa]","SNR_opt [dB]","Grand mean Sigma [MPa]","Grand mean SNR [dB]"],
+        "Vrijednost": [pred_sigma, pred_snr, grand_mean, grand_mean_snr]
+    })
+    pred_df.to_csv(os.path.join(outdir, "5_prediction.csv"), index=False)
+
+    # ANOVA (Taguchi-style) on response
+    anova_df, mu_sigma, totss = taguchi_anova(df, args.response, factors)
+    anova_df.to_csv(os.path.join(outdir, "6_anova_sigma.csv"), index=False)
+
+    # Plots: main effects for SNR
+    for f in factors:
+        means = df.groupby(f)["SNR_LB [dB]"].mean().reset_index()
+        # numeric sort if possible
+        try:
+            means[f] = pd.to_numeric(means[f], errors="ignore")
+            means = means.sort_values(by=f)
+        except:
+            pass
+        plt.figure()
+        plt.plot(means[f], means["SNR_LB [dB]"], marker="o")
+        plt.xlabel(f)
+        plt.ylabel("S/N (LB) [dB]")
+        plt.title(f"Main effect (S/N): {f}")
+        plt.tight_layout()
+        plt.savefig(os.path.join(outdir, f"main_effect_SNR_{f}.png"), dpi=150)
+        plt.close()
+
+    # LaTeX snippet
+    latex_lines = []
+    latex_lines.append(r"% --- Taguchi rezultati (S = Sigma [MPa], S/N larger-the-better) ---")
+    latex_lines.append(r"\subsection{Rezultati Taguchijeve metode}")
+    latex_lines.append(r"U skladu s ortogonalnom matricom provedena je analiza s kriterijem \textbf{što-veće-to-bolje}. Za svaku kombinaciju izračunat je S/N omjer \((\mathrm{S/N}=20\log_{10}(\sigma))\) te su određeni glavni učinci po razinama i optimalna kombinacija.")
+
+    # Optimal levels
+    latex_lines.append(r"\paragraph{Optimalne razine (po S/N).}")
+    latex_lines.append(opt_table.to_latex(index=False, escape=False))
+    # Prediction
+    latex_lines.append(r"\paragraph{Predikcija odziva na optimalnoj kombinaciji.}")
+    latex_lines.append(pred_df.to_latex(index=False, escape=False, float_format='%.2f'))
+    # Ranking
+    latex_lines.append(r"\paragraph{Rang utjecaja faktora.}")
+    latex_lines.append(ranking.to_latex(index=False, escape=False, float_format='%.3f'))
+    # ANOVA
+    an_fmt = anova_df.copy()
+    for c in ["SS","MS","Pct_contrib_%"]:
+        if c in an_fmt.columns:
+            an_fmt[c] = an_fmt[c].astype(float).round(3)
+    latex_lines.append(r"\paragraph{ANOVA (Taguchi).}")
+    latex_lines.append(an_fmt.to_latex(index=False, escape=False))
+    latex_lines.append(r"Napomena: budući da je \(n{=}1\), pogreška (Error) procijenjena je iz preostalih stupnjeva slobode (Taguchi pooling).")
+
+    with open(os.path.join(outdir, "taguchi_results.tex"), "w", encoding="utf-8") as f:
+        f.write("\n\n".join(latex_lines))
+
+    # Small JSON summary
+    summary = {
+        "outdir": outdir,
+        "factors": factors,
+        "opt_levels": opt_levels,
+        "pred_sigma": pred_sigma,
+        "grand_mean_sigma": grand_mean,
+    }
+    with open(os.path.join(outdir, "summary.json"), "w", encoding="utf-8") as f:
+        json.dump(summary, f, ensure_ascii=False, indent=2)
+
+    print("Done. Outputs in:", outdir)
+
+if __name__ == "__main__":
+    main()

radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux

@@ -95,6 +95,7 @@
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 \newlabel{subsec:taguchi_metoda}{{2.7}{10}{}{subsection.2.7}{}}
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 \abx@aux@read@bbl@mdfivesum{3569AB5A48CADD3873A346B2982F931D}
 \abx@aux@defaultrefcontext{0}{aboelella2025layer}{nty/global//global/global/global}
 \abx@aux@defaultrefcontext{0}{aoyagi2002viscosity}{nty/global//global/global/global}
@@ -279,4 +301,4 @@
 \abx@aux@defaultrefcontext{0}{Stamopoulos2020}{nty/global//global/global/global}
 \abx@aux@defaultrefcontext{0}{sun2008effect}{nty/global//global/global/global}
 \abx@aux@defaultrefcontext{0}{zandi2020mechanical}{nty/global//global/global/global}
-\gdef \@abspage@last{41}
+\gdef \@abspage@last{45}

radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg

@@ -1,17 +1,17 @@
 [0] Config.pm:308> INFO - This is Biber 2.20
 [0] Config.pm:311> INFO - Logfile is 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg'
-[49] biber:342> INFO - === Sun Aug 24, 2025, 17:44:24
-[59] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf'
-[91] Biber.pm:994> INFO - Found 21 citekeys in bib section 0
-[101] Biber.pm:4463> INFO - Processing section 0
-[105] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0
-[106] bibtex.pm:1713> INFO - LaTeX decoding ...
-[115] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib'
-[203] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable'
-[204] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized'
-[204] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR'
-[217] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8'
-[221] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
-[221] Biber.pm:131> WARN - Duplicate entry key: 'kuznetsov2018strengthPLA' in file 'literatura.bib', skipping ...
-[221] Biber.pm:131> WARN - legacy year field '1963.' in entry 'bazjanacNauka1' is not an integer - this will probably not sort properly.
-[221] Biber.pm:133> INFO - WARNINGS: 2
+[43] biber:342> INFO - === Sat Sep  6, 2025, 21:08:47
+[54] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf'
+[85] Biber.pm:994> INFO - Found 21 citekeys in bib section 0
+[95] Biber.pm:4463> INFO - Processing section 0
+[101] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0
+[102] bibtex.pm:1713> INFO - LaTeX decoding ...
+[111] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib'
+[199] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable'
+[199] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized'
+[199] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR'
+[210] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8'
+[214] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
+[215] Biber.pm:131> WARN - Duplicate entry key: 'kuznetsov2018strengthPLA' in file 'literatura.bib', skipping ...
+[215] Biber.pm:131> WARN - legacy year field '1963.' in entry 'bazjanacNauka1' is not an integer - this will probably not sort properly.
+[215] Biber.pm:133> INFO - WARNINGS: 2

radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk

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radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex

@@ -24,6 +24,7 @@
 \usepackage{listings}
 \usepackage{xcolor}
 \usepackage{pdflscape}
+\usepackage{multirow} % dodaj u preambulu
 
 \lstdefinestyle{python}{
     language=Python,
@@ -454,23 +455,23 @@ Taguchijeva metoda je eksperimentalna metoda za analizu utjecaja više ulaznih p
 \bigskip
 \textbf{Osnovni pojmovi:}
 \begin{itemize}
-    \item \textbf{Faktori (engl. factors):} Varijable koje se kontroliraju u eksperimentu. U ovom radu, to su npr. visina sloja, širina ekstruzije, postotak 
-        ispune itd.
-    
-    \item \textbf{Razine (engl. levels):} Odabrane vrijednosti koje pojedini faktor može poprimiti. Na primjer, visina sloja može imati 3 
-        razine: 0.1\,mm, 0.2\,mm i 0.3\,mm.
+    \item \textbf{Faktori:} Varijable koje se kontroliraju u eksperimentu. U ovom radu, to su odabrani parametri ispisa
     
+    \item \textbf{Razine:} Odabrane vrijednosti koje pojedini faktor može poprimiti. 
+
     \item \textbf{Ortogonalna matrica:} Matrica koja omogućuje sustavno variranje faktora i njihovih razina tako da se s minimalnim brojem eksperimenata 
-        obuhvati maksimalna količina informacija. Najčešće korištene su matrice tipa L9, L18, L27 itd., ovisno o broju faktora i razina.
+        obuhvati maksimalna količina informacija.
     
     \item \textbf{Signal-šum omjer (S/N omjer):} Kvantitativna mjera kojom se procjenjuje kvaliteta odziva. Povezuje korisni signal (željeni odziv) s 
-        neželjenim šumom (varijacijom). Za slučaj kada se želi maksimizirati odziv (npr. čvrstoća), koristi se S/N omjer za kriterij što je vrijednost viša, to je bolja:
+        neželjenim šumom (varijacijom). Za slučaj kada se želi maksimizirati odziv (u ovom slučaju čvrstoća), koristi se S/N omjer za kriterij što
+        je vrijednost viša, to je bolja:
     
-    \begin{equation}
+    \begin{equation}\label{eq:sn_ratio}
         \text{S/N} = -10 \cdot \log_{10}\left( \frac{1}{n} \sum_{i=1}^{n} \frac{1}{y_i^2} \right)
     \end{equation}
     
     gdje je $y_i$ izmjerena vrijednost odziva u $i$-tom ponavljanju, a $n$ broj ponavljanja eksperimenta za danu kombinaciju parametara.\\
+    
 \end{itemize}
 
 \textbf{Zašto se koristi u optimizaciji procesa:}
@@ -492,8 +493,14 @@ Njezine glavne prednosti su:
 U ovom radu koristit će se Taguchijeva metoda kako bi se utvrdio utjecaj 5 faktora ispisa (visina sloja, širina ekstruzije, postotak ispune, orijentacija modela 
 i broj slojeva stijenke) na mehaničku čvrstoću ispitnih uzoraka izrađenih FDM tehnologijom. Za svaki eksperimentalni uzorak mjerit će se vlačna i smična čvrstoća, 
 a S/N omjer koristit će se za procjenu optimalne kombinacije parametara i njihove robusnosti.\\
+
+Cilj nam je, dakle, pronaći razine faktora koje daju velik signal (visoke vrijednosti čvrstoće) i mali šum (stabilno, malo rasipanje), zato maksimiziramo S/N
+omjer.\\
+
+
 \end{flushleft}
 
+
 \subsection{ANOVA analiza (analiza varijance)} \label{subsec:anova}
 
 Analiza varijance (engl. \textit{Analysis of Variance} – ANOVA) je statistička metoda kojom se utvrđuje značajnost utjecaja pojedinih faktora na 
@@ -624,9 +631,9 @@ kvalitetna raspodjela podataka, biti će odabrane tri visine sloja prema tablici
         \hline
         0.08mm & 20\% & 0.4mm \\
         \hline
-        0.22mm & 55\% & 0.4mm \\
+        0.14mm & 55\% & 0.4mm \\
         \hline
-        0.36mm & 90\% & 0.4mm \\
+        0.28mm & 90\% & 0.4mm \\
         \hline
     \end{tabular}
 \end{table}    
@@ -715,8 +722,8 @@ U Tablici~\ref{tab:sumarni_parametri} prikazan je sažetak svih ispitivanih para
         \hline
         \multirow{3}{*}{Visina sloja} 
             & 0.08\,mm \\
-            & 0.22\,mm \\
-            & 0.36\,mm \\
+            & 0.14\,mm \\
+            & 0.28\,mm \\
         \hline
         \multirow{3}{*}{Širina ekstruzije} 
             & 0.4\,mm \\
@@ -783,8 +790,8 @@ Kada znamo koje kombinacije su nam potrebne, možemo napraviti tablicu \ref{tab:
     \hline
     \multirow{3}{*}{Visina sloja} 
         & 0.08\,mm & \multirow{3}{*}{3} \\
-        & 0.22\,mm & \\
-        & 0.36\,mm & \\
+        & 0.14\,mm & \\
+        & 0.28\,mm & \\
     \hline
     \multirow{3}{*}{Širina ekstruzije} 
         & 0.4\,mm & \multirow{3}{*}{3} \\
@@ -828,21 +835,21 @@ kombinacije koje je potrebno ispitati.\\
 1  & Orijentacija 1 & 0.08\,mm & 0.4\,mm & 20\% & 2 \\
 2  & Orijentacija 1 & 0.08\,mm & 0.6\,mm & 55\% & 4 \\
 3  & Orijentacija 1 & 0.08\,mm & 0.8\,mm & 85\% & 6 \\
-4  & Orijentacija 1 & 0.22\,mm & 0.4\,mm & 55\% & 6 \\
-5  & Orijentacija 1 & 0.22\,mm & 0.6\,mm & 85\% & 2 \\
-6  & Orijentacija 1 & 0.22\,mm & 0.8\,mm & 20\% & 4 \\
-7  & Orijentacija 1 & 0.36\,mm & 0.4\,mm & 85\% & 4 \\
-8  & Orijentacija 1 & 0.36\,mm & 0.6\,mm & 20\% & 6 \\
-9  & Orijentacija 1 & 0.36\,mm & 0.8\,mm & 55\% & 2 \\
+4  & Orijentacija 1 & 0.14\,mm & 0.4\,mm & 55\% & 6 \\
+5  & Orijentacija 1 & 0.14\,mm & 0.6\,mm & 85\% & 2 \\
+6  & Orijentacija 1 & 0.14\,mm & 0.8\,mm & 20\% & 4 \\
+7  & Orijentacija 1 & 0.28\,mm & 0.4\,mm & 85\% & 4 \\
+8  & Orijentacija 1 & 0.28\,mm & 0.6\,mm & 20\% & 6 \\
+9  & Orijentacija 1 & 0.28\,mm & 0.8\,mm & 55\% & 2 \\
 10 & Orijentacija 2 & 0.08\,mm & 0.4\,mm & 85\% & 4 \\
 11 & Orijentacija 2 & 0.08\,mm & 0.6\,mm & 20\% & 6 \\
 12 & Orijentacija 2 & 0.08\,mm & 0.8\,mm & 55\% & 2 \\
-13 & Orijentacija 2 & 0.22\,mm & 0.4\,mm & 20\% & 6 \\
-14 & Orijentacija 2 & 0.22\,mm & 0.6\,mm & 55\% & 2 \\
-15 & Orijentacija 2 & 0.22\,mm & 0.8\,mm & 85\% & 4 \\
-16 & Orijentacija 2 & 0.36\,mm & 0.4\,mm & 55\% & 4 \\
-17 & Orijentacija 2 & 0.36\,mm & 0.6\,mm & 85\% & 6 \\
-18 & Orijentacija 2 & 0.36\,mm & 0.8\,mm & 20\% & 2 \\
+13 & Orijentacija 2 & 0.14\,mm & 0.4\,mm & 20\% & 6 \\
+14 & Orijentacija 2 & 0.14\,mm & 0.6\,mm & 55\% & 2 \\
+15 & Orijentacija 2 & 0.14\,mm & 0.8\,mm & 85\% & 4 \\
+16 & Orijentacija 2 & 0.28\,mm & 0.4\,mm & 55\% & 4 \\
+17 & Orijentacija 2 & 0.28\,mm & 0.6\,mm & 85\% & 6 \\
+18 & Orijentacija 2 & 0.28\,mm & 0.8\,mm & 20\% & 2 \\
 \hline
 \end{tabular}
 }
@@ -867,8 +874,8 @@ parametri za smično ispitivanje.\\
     \hline
     \multirow{3}{*}{Visina sloja} 
         & 0.08\,mm & \multirow{3}{*}{3} \\
-        & 0.22\,mm & \\
-        & 0.36\,mm & \\
+        & 0.14\,mm & \\
+        & 0.28\,mm & \\
     \hline
     \multirow{3}{*}{Širina ekstruzije} 
         & 0.4\,mm & \multirow{3}{*}{3} \\
@@ -917,24 +924,24 @@ odgovara matrici L27 koja sadržava pet faktora po tri razine, te zahtjeva 27 ek
 7  & Orijentacija 3 & 0.08\,mm & 0.8\,mm & 20\% & 4 \\
 8  & Orijentacija 1 & 0.08\,mm & 0.8\,mm & 55\% & 6 \\
 9  & Orijentacija 2 & 0.08\,mm & 0.8\,mm & 85\% & 2 \\
-10 & Orijentacija 2 & 0.22\,mm & 0.4\,mm & 20\% & 6 \\
-11 & Orijentacija 3 & 0.22\,mm & 0.4\,mm & 55\% & 2 \\
-12 & Orijentacija 1 & 0.22\,mm & 0.4\,mm & 85\% & 4 \\
-13 & Orijentacija 3 & 0.22\,mm & 0.6\,mm & 20\% & 4 \\
-14 & Orijentacija 1 & 0.22\,mm & 0.6\,mm & 55\% & 6 \\
-15 & Orijentacija 2 & 0.22\,mm & 0.6\,mm & 85\% & 2 \\
-16 & Orijentacija 1 & 0.22\,mm & 0.8\,mm & 20\% & 2 \\
-17 & Orijentacija 2 & 0.22\,mm & 0.8\,mm & 55\% & 4 \\
-18 & Orijentacija 3 & 0.22\,mm & 0.8\,mm & 85\% & 6 \\
-19 & Orijentacija 3 & 0.36\,mm & 0.4\,mm & 20\% & 4 \\
-20 & Orijentacija 1 & 0.36\,mm & 0.4\,mm & 55\% & 6 \\
-21 & Orijentacija 2 & 0.36\,mm & 0.4\,mm & 85\% & 2 \\
-22 & Orijentacija 1 & 0.36\,mm & 0.6\,mm & 20\% & 4 \\
-23 & Orijentacija 2 & 0.36\,mm & 0.6\,mm & 55\% & 6 \\
-24 & Orijentacija 3 & 0.36\,mm & 0.6\,mm & 85\% & 2 \\
-25 & Orijentacija 2 & 0.36\,mm & 0.8\,mm & 20\% & 2 \\
-26 & Orijentacija 3 & 0.36\,mm & 0.8\,mm & 55\% & 4 \\
-27 & Orijentacija 1 & 0.36\,mm & 0.8\,mm & 85\% & 6 \\
+10 & Orijentacija 2 & 0.14\,mm & 0.4\,mm & 20\% & 6 \\
+11 & Orijentacija 3 & 0.14\,mm & 0.4\,mm & 55\% & 2 \\
+12 & Orijentacija 1 & 0.14\,mm & 0.4\,mm & 85\% & 4 \\
+13 & Orijentacija 3 & 0.14\,mm & 0.6\,mm & 20\% & 4 \\
+14 & Orijentacija 1 & 0.14\,mm & 0.6\,mm & 55\% & 6 \\
+15 & Orijentacija 2 & 0.14\,mm & 0.6\,mm & 85\% & 2 \\
+16 & Orijentacija 1 & 0.14\,mm & 0.8\,mm & 20\% & 2 \\
+17 & Orijentacija 2 & 0.14\,mm & 0.8\,mm & 55\% & 4 \\
+18 & Orijentacija 3 & 0.14\,mm & 0.8\,mm & 85\% & 6 \\
+19 & Orijentacija 3 & 0.28\,mm & 0.4\,mm & 20\% & 4 \\
+20 & Orijentacija 1 & 0.28\,mm & 0.4\,mm & 55\% & 6 \\
+21 & Orijentacija 2 & 0.28\,mm & 0.4\,mm & 85\% & 2 \\
+22 & Orijentacija 1 & 0.28\,mm & 0.6\,mm & 20\% & 4 \\
+23 & Orijentacija 2 & 0.28\,mm & 0.6\,mm & 55\% & 6 \\
+24 & Orijentacija 3 & 0.28\,mm & 0.6\,mm & 85\% & 2 \\
+25 & Orijentacija 2 & 0.28\,mm & 0.8\,mm & 20\% & 2 \\
+26 & Orijentacija 3 & 0.28\,mm & 0.8\,mm & 55\% & 4 \\
+27 & Orijentacija 1 & 0.28\,mm & 0.8\,mm & 85\% & 6 \\
 \hline
 \end{tabular}
 }
@@ -1248,7 +1255,6 @@ Za svaki ispitni uzorak zabilježeni su:
     \item konfiguracija parametara definirana ortogonalnom matricom
     \item vrijednosti sile
     \item izračunata naprezanja
-    \item vrijednosti pomaka
 \end{itemize}
 Na taj način dobiven je skup podataka koji se dalje koristi u analizi prema Taguchijevoj metodi.
 
@@ -1339,38 +1345,251 @@ Izračun površina i geometrijskih momenata presjeka proveden je pomoću vlastit
 
 \subsection{Obrada rezultata vlačnog ispitivanja}\label{subsec:obrada_rezultata_vlačnog_ispitivanja}
 
-Primjenom Taguchijeve metode i izračuna signal-šum (S/N omjer) moguće je odrediti koji parametri ispisa imaju najveći utjecaj na čvrstoću uzoraka te identificirati
-optimalne kombinacije parametara. Za svaki uzorak izmjerena je maksimalna sila $F_\text{max}$ pri lomu, te je izračunata vlačna čvrstoća prema izrazu:\\
-\begin{equation}
-\sigma = \frac{F_\text{max}}{A}
-\end{equation}
-gdje je $A$ površina poprečnog presjeka epruvete u zoni loma.\\
+Nakon odrađenog vlačnog ispitivanja na kidalici, zabilježene su sile prikazane u tablici \ref{tab:rezultati_vlacni}. Svaki uzorak ispitivan je do loma, te je 
+zabilježena najveća sila u procesu ispitivanja. \\
 
+\subsubsection{Signal-šum omjer rezultata vlačnog ispitivanja}\label{subsubsec:signal_sum_omjer_rezultata_vlacnog_ispitivanja}
+
+Primjenom Taguchijeve metode i izračuna signal-šum (S/N omjer) moguće je odrediti koji parametri ispisa imaju najveći utjecaj na čvrstoću uzoraka te identificirati
+optimalne kombinacije parametara. Za svaki uzorak, pomoću maksimalne sile $F_\text{m}$ pri lomu, te je izračunata vlačna čvrstoća prema izrazu:\\
+\begin{equation}
+\sigma = \frac{F_\text{m}}{A_{ekv}}
+\end{equation}
+gdje je $A_{ekv}$ površina ekvivalentnog poprečnog presjeka epruvete kada bi bila potpuno ispunjena.\\
+Ekvivalentu površinu koristimo kako bi svi uzorci imali istu referencu za računanje naprezanja. Pošto je unutrašnjost ispitnog uzorka kompleksna, te površina
+poprečnog presjeka nije konstanta, niti je jednostavnog oblika, koristeći program opisan u poglavlju \ref{subsec:racunalna_analiza_poprecnog_presjeka} kako bi se
+odredila maksimalna površina poprečnog presjeka, te uzročno posljedično i naprezanje ($\sigma ''$) koje bi se pojavilo kada bi ispitni uzorak zbilja puknuo u presjeku
+najvećom površinom (najgori slučaj koji nam po metodi "što više to bolje" daje najniži rezultat). Također je zabilježena i minimalna površina poprečnog presjeka 
+svakog ispitnog uzorka kako bi se mogao odrediti lokalni maksimum naprezanja ($\sigma '$) koji se pri zabilježenoj sili dogodio (opisano u daljnjoj analizi).
+
+\begin{flushleft}
+Za svaku eksperimentalnu kombinaciju iz ortogonalne matrice L18 (tablica \ref{tab:taguchi_l18_vlacni} izračunat je signal-šum (SNR) omjer prema izrazu
+\ref{eq:sn_ratio}. Gdje je $y_i$ izmjerena vrijednost čvrstoće u $i$-tom ponavljanju, a $n$ broj ponavljanja. Budući da
+je svaki ispitni uzorak (zbog ograničenih resursa) ispitivan samo jednom, izraz \ref{eq:sn_ratio} možemo pretvoriti u izraz \ref{eq:sn_ratio_vlak} (za
+vlak). 
+
+Za svaki rezultat izračunat je S/N omjer (pripadajuč za taj slučaj) prema kriteriju što je vrijednost viša, to je bolja.\\
+
+\end{flushleft}
+
+\begin{equation}
+    \text{S/N} = -10 \cdot \log_{10}\left ( \frac{1}{\sigma^2}\right) = 20\cdot log_{10} \left (\sigma \right )
+\label{eq:sn_ratio_vlak}
+\end{equation}
+
+\begin{table}[H]
+\centering
+\resizebox{\textwidth}{!}{%
+\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
+\hline
+Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_m$ [kN] & $\sigma$ [MPa] & $\sigma'$ & $\sigma''$ & SNR [dB] \\ \hline
+1  & 100 & 44.493  & 44.493  & 0.778 & 7.78  & 17.4859 & 17.4859 & 17.8196 \\ \hline
+2  & 100 & 87.819  & 87.819  & 3.299 & 32.99 & 37.5659 & 37.5659 & 30.3676 \\ \hline
+3  & 100 & 100     & 100     & 0.794 & 7.94  & 7.9400  & 7.9400  & 17.9964 \\ \hline
+4  & 100 & 87.6308 & 87.6308 & 2.792 & 27.92 & 31.8609 & 31.8609 & 28.9183 \\ \hline
+5  & 100 & 91.5613 & 91.5613 & 2.468 & 24.68 & 26.9546 & 26.9546 & 27.8469 \\ \hline
+6  & 100 & 93.9905 & 93.9905 & 2.871 & 28.71 & 30.5456 & 30.5456 & 29.1607 \\ \hline
+7  & 100 & 92.7473 & 92.7473 & 2.423 & 24.23 & 26.1247 & 26.1247 & 27.6871 \\ \hline
+8  & 100 & 96.3896 & 96.3896 & 1.891 & 18.91 & 19.6183 & 19.6183 & 25.5338 \\ \hline
+9  & 100 & 79.2649 & 79.2649 & 2.431 & 24.31 & 30.6693 & 30.6693 & 27.7157 \\ \hline
+10 & 100 & 35.669  & 71.34   & 3.398 & 33.98 & 95.2648 & 47.6311 & 30.6245 \\ \hline
+11 & 100 & 36.045  & 72.09   & 3.218 & 32.18 & 89.2773 & 44.6386 & 30.1517 \\ \hline
+12 & 100 & 26.908  & 53.817  & 2.768 & 27.68 & 102.869 & 51.4336 & 28.8433 \\ \hline
+13 & 100 & 32.415  & 52.865  & 2.472 & 24.72 & 76.2610 & 46.7606 & 27.8610 \\ \hline
+14 & 100 & 24.155  & 48.31   & 2.527 & 25.27 & 104.616 & 52.3080 & 28.0521 \\ \hline
+15 & 100 & 42.804  & 85.607  & 3.647 & 36.47 & 85.2023 & 42.6017 & 31.2387 \\ \hline
+16 & 100 & 26.909  & 53.817  & 2.491 & 24.91 & 92.5713 & 46.2865 & 27.9275 \\ \hline
+17 & 100 & 44.555  & 89.111  & 4.111 & 41.11 & 92.2680 & 46.1335 & 32.2789 \\ \hline
+18 & 100 & 15.895  & 31.79   & 2.263 & 22.63 & 142.372 & 71.1859 & 27.0937 \\ \hline
+\end{tabular}
+}
+\caption{Rezultati vlačnog ispitivanja}
+\label{tab:rezultati_vlacni}
+\end{table}
+
+\begin{flushleft}
+Nakon što smo odredili sve vrijednosti za signal-šum omjere, moguće je onda odrediti srednji signal-šum za svaku od razina svakog faktora u tablici
+\ref{tab:taguchi_l18_vlacni}, srednju čvrstoću svake razine svakog parametra, te finalno i razliku maksimalnog i minimalnog signal-šum omjera svake razine svakog
+faktora. Sa tim podacima, možemo napraviti predikciju optimalne kombinacije signal-šum omjera. Svi navedeni podaci prikazani su u tablici \ref{tab:snr_vlak}.
+\end{flushleft}
+
+\begin{table}[H]
+\centering
+\scriptsize
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Faktor & Razina & Srednji SNR [dB] & Srednja čvrstoća [MPa] & $\Delta$ (SNR) & Optimalna kombinacija SNR \\ \hline
+
+\multirow{2}{*}{Orijentacija} 
+& 1 & 25.8940 & 21.94 & \multirow{2}{*}{3.4473} & \multirow{2}{*}{2} \\ \cline{2-4}
+& 2 & 29.3413 & 29.88 & & \\ \hline
+
+\multirow{3}{*}{Visina sloja [mm]} 
+& 0.08 & 25.9672 & 23.76 & \multirow{3}{*}{3.2725} & \multirow{3}{*}{0.14} \\ \cline{2-4}
+& 0.14 & 28.8463 & 27.96 & & \\ \cline{2-4}
+& 0.28 & 28.0395 & 26.02 & & \\ \hline
+
+\multirow{3}{*}{Širina ekstruzije [mm]} 
+& 0.4 & 26.8063 & 23.92 & \multirow{3}{*}{2.8791} & \multirow{3}{*}{0.6} \\ \cline{2-4}
+& 0.6 & 29.0385 & 29.19 & & \\ \cline{2-4}
+& 0.8 & 27.0081 & 24.62 & & \\ \hline
+
+\multirow{3}{*}{Postotak ispune [\%]} 
+& 20 & 26.2701 & 22.49 & \multirow{3}{*}{2.3673} & \multirow{3}{*}{55} \\ \cline{2-4}
+& 55 & 28.6374 & 27.18 & & \\ \cline{2-4}
+& 85 & 27.9454 & 28.07 & & \\ \hline
+
+\multirow{3}{*}{Broj slojeva stijenke} 
+& 2 & 26.2286 & 22.06 & \multirow{3}{*}{2.2322} & \multirow{3}{*}{4} \\ \cline{2-4}
+& 4 & 29.5010 & 30.22 & & \\ \cline{2-4}
+& 6 & 27.1234 & 25.46 & & \\ \hline
+
+\end{tabular}
+\caption{Analiza faktora s prosječnim vrijednostima SNR i čvrstoće}
+\label{tab:snr_vlak}
+\end{table}
+
+
+\subsubsection{ANOVA analiza rezultata vlačnog ispitivanja}\label{subsubsec:anova_analiza_rezultata_vlacnog_ispitivanja}
+
+ANOVA metodu provesti ćemo po postupku opisanom u poglavlju \ref{subsec:anova_analiza}
+
+Izračunamo li srednju srednju vrijednost ($\mu$) naprezanja $\sigma$ svakog eksperimenta te zbroj kvadrata odstupanja točaka od srednje vrijednosti za skup svih 
+$\sigma$, uz broj uzoraka $\mathrm{N}=18$, dobivamo vrijednosti iz izraza \ref{eq:sst} te izraza \ref{eq:sigma_avg}.\\
+
+\begin{equation}\label{eq:sigma_avg}
+    \mu = \bar{\sigma} = \frac{\sum_{i=1}^{N} (\sigma_i)}{N} = 25.912 \mathrm{MPa} 
+\end{equation}
+
+\begin{equation}\label{eq:sst}
+    SS_{ukupno} = \sum_{i=1}^{N} (\sigma_i) = 1233.228 \mathrm{MPa^2}
+\end{equation}
+
+
+Sada je moguće izračunati zbrojeve kvadrata za svaki faktor ($\mathrm{SS_f}$) prema izrazu \ref{eq:ssf} koji predstavlja dio ukupne varijacije koji se može pripisati
+glavnom učinku faktora za koji se računa.\\
+
+\begin{equation}\label{eq:ssf}
+    SS_f = \sum_{j=1}^{l} n_j (\bar{\sigma}_j - \bar{\sigma})^2
+\end{equation}
+
+Srednji kvadrat definiran je izrazima \ref{eq:msf} i \ref{eq:mse} te opisuje prosječni varijabilitet koji objašnjava faktor po jednom stupnju slobode i "ostatak", tj.
+preostali varijabilitet koji model nije objasnio.\\
+
+\begin{equation}\label{eq:msf}
+    \mathrm{MS_f} = \frac{\mathrm{SS_f}}{\mathrm{SL_f}}
+\end{equation}
+
+\begin{equation}\label{eq:mse}
+    \mathrm{MS_E} = \frac{\mathrm{SS_E}}{\mathrm{SL_E}}
+\end{equation}
+
+Stupnjevi slobode govore koliko je neovisnih informacija dostupno za procjenu varijabilnosti. Ukupni broj stupnjeva slobode (definiran izrazom \ref{eq:sl_ukupno}
+je zapravo ukupan broj ispitnih uzoraka, umanjen za jedan jer jedno od $\mathrm{N}$ mjerenja koristimo za procjenu ukupnog prosjeka $\mu$, dok je broj 
+stupnjeva slobode faktora s $\mathrm{a}$ razina (definiran izrazom \ref{eq:sl_faktor}) umanjen za jedan jer se jedna razina koristi za kontrast u odnosu na $\mu$.\\
+
+
+\begin{equation}\label{eq:sl_ukupno}
+    \mathrm{SL_{ukupno}} = \mathrm{N} - 1
+\end{equation}
+
+\begin{equation}\label{eq:sl_faktor}
+    \mathrm{SL_{faktor}} = \mathrm{a} -1
+\end{equation}
+
+U tablici \ref{tab:anova_ssf_vlak}  prikazane su vrijednosti zbroja kvadrata, stupnjeva slobode te srednjih kvadrata za svaki faktor i njegove razine.\\
 
 
 \begin{table}[H]
 \centering
-\caption{Rezultati vlačnih ispitivanja (primjer vrijednosti → moram ubaciti prave nakon kidanja, ali ovo bi trebao biti format tablice)}
-\label{tab:rezultati_vlacni}
-\begin{tabular}{|c|c|c|c|c|}
-\hline
-Eksperiment & Orijentacija & $F_\text{max}$ [N] & Površina presjeka $A$ [mm$^2$] & $\sigma$ [MPa] \\
-\hline
-1  & Orijentacija 1 & 1420 & 25.0 & 56.8 \\
-2  & Orijentacija 1 & 1280 & 25.0 & 51.2 \\
-3  & Orijentacija 1 & 1630 & 25.0 & 65.2 \\
-... & ... & ... & ... & ... \\
+\begin{tabular}{|c|c|c|c|c|c|}
 \hline
+    Faktor & $\bar{\sigma}$ & n & $\mu^2$ & $\mathrm{n} \cdot \mu^2$ \\ \hline
+
+\multicolumn{5}{|l|}{\textbf{Orijentacija}} \\ \hline
+1 & 21.9411 & 9 & 15.7697 & 141.9275 \\ \hline
+2 & 29.8833 & 9 & 15.7697 & 141.9275 \\ \hline
+\textbf{Zbroj kvadrata} & & & & 283.8550 \\ \hline
+\textbf{Stupnjevi slobode} & & & & 1 \\ \hline
+\textbf{Srednji kvadrat} & & & & 283.8550 \\ \hline
+
+\multicolumn{5}{|l|}{\textbf{Visina sloja [mm]}} \\ \hline
+0.08 & 23.7583 & 6 & 4.6392 & 27.8354 \\ \hline
+0.14 & 27.9617 & 6 & 4.2002 & 25.2013 \\ \hline
+0.28 & 26.0167 & 6 & 0.0109 & 0.0655 \\ \hline
+\textbf{Zbroj kvadrata} & & & & 53.1022 \\ \hline
+\textbf{Stupnjevi slobode} & & & & 2 \\ \hline
+\textbf{Srednji kvadrat} & & & & 26.5511 \\ \hline
+
+\multicolumn{5}{|l|}{\textbf{Širina ekstruzije [mm]}} \\ \hline
+0.4 & 23.9233 & 6 & 3.9557 & 23.7347 \\ \hline
+0.6 & 29.19   & 6 & 10.7438 & 64.4629 \\ \hline
+0.8 & 24.6233 & 6 & 1.6612 & 9.9674 \\ \hline
+\textbf{Zbroj kvadrata} & & & & 98.1644 \\ \hline
+\textbf{Stupnjevi slobode} & & & & 2 \\ \hline
+\textbf{Srednji kvadrat} & & & & 49.0822 \\ \hline
+
+\multicolumn{5}{|l|}{\textbf{Postotak ispune [\%]}} \\ \hline
+20 & 22.4883 & 6 & 11.7230 & 70.3381 \\ \hline
+55 & 27.18   & 6 & 1.6073  & 9.6436  \\ \hline
+85 & 28.0683 & 6 & 4.6489  & 27.8929 \\ \hline
+\textbf{Zbroj kvadrata} & & & & 107.8745 \\ \hline
+\textbf{Stupnjevi slobode} & & & & 2 \\ \hline
+\textbf{Srednji kvadrat} & & & & 53.9377 \\ \hline
+
+\multicolumn{5}{|l|}{\textbf{Broj slojeva stijenke}} \\ \hline
+2 & 22.0583 & 6 & 14.8525 & 89.1148 \\ \hline
+4 & 30.215  & 6 & 18.5139 & 111.0834 \\ \hline
+6 & 25.4633 & 6 & 0.2015  & 1.2090  \\ \hline
+\textbf{Zbroj kvadrata} & & & & 201.4071 \\ \hline
+\textbf{Stupnjevi slobode} & & & & 2 \\ \hline
+\textbf{Srednji kvadrat} & & & & 100.7036 \\ \hline
+
 \end{tabular}
+\caption{Sume kvadrata faktora vlačnog testa}
+\label{tab:anova_ssf_vlak}
 \end{table}
 
-Za svaki rezultat izračunat je S/N omjer (pripadajuč za taj slučaj) prema kriteriju što je vrijednost viša, to je bolja.\\
-\begin{equation}
-\text{S/N} = -10 \cdot \log_{10}\left( \frac{1}{n} \sum_{i=1}^{n} \frac{1}{y_i^2} \right)
-\label{eq:sn_ratio}
+Pogreška predstavlja sve što nije objašnjeno glavnim učincima u modelu, te je definirana izrazom \ref{eq:pogreska}. Uzevši u obzir da (zbog ograničennja eksperimenta)
+nemamo više ispitivanja istih epruveta, pogreška će sadržavati interakcije među faktorima (jer ih ne procjenjujemo), stohastični šum procesa (varijacije u ispisu,
+temperaturama, mjerenju itd.) te neubrojene kovarijante (neidealnu adheziju, točne poprečne presjeke, interakciju geometrije ispune i stijenke itd.). Pogreška u 
+ovome slučaju zato neće predstavljati grešku u mjerenju, već neobjašnjene varijacije u rezultatu.
+
+\begin{equation}\label{eq:pogreska}
+    \mathrm{SS_E} = \mathrm{SS_{ukupno}} - \sum_f \mathrm{SS_f}
 \end{equation}
 
 
+F-omjer, opisan izrazom \ref{eq:f-ratio}, predstavlja usporedbu varijabilnosti zbog faktora te preostale (rezidualne) varijabilnosti. Velika F vrijednost govori
+da se razine u tome faktoru razlikuju više nego što bi se očekivalo od slučajnog šuma, te je kao takva pokazatelj statističke značajnosti faktora na finalni rezultat.\\
+
+\begin{equation}\label{eq:f-ratio}
+    \mathrm{F_f} = \frac{\mathrm{MS_f}}{\mathrm{MS_e}}
+\end{equation}
+
+
+Sažetak cijele analize, te udio varijabiliteta svakog faktora prikazan je u tablici \ref{tab:anova_sazetak_vlak}.\\
+
+\begin{table}[H]
+\centering
+\scriptsize
+\begin{tabular}{|l|c|c|c|c|c|}
+\hline
+\textbf{Faktor} & \textbf{Zbroj kvadrata (SS)} & \textbf{Stupnjevi slobode (df)} & \textbf{Srednji kvadrat (MS)} & \textbf{F-omjer} & \textbf{Udio varijabiliteta [\%]} \\ \hline
+Orijentacija          & 283.8550 & 1  & 283.8550 & 4.6455 & 23.0172 \\ \hline
+Visina sloja          & 53.1022  & 2  & 26.5511  & 0.4345 & 4.3060  \\ \hline
+Širina ekstruzije     & 98.1644  & 2  & 49.0822  & 0.8033 & 7.9600  \\ \hline
+Postotak ispune       & 107.8745 & 2  & 53.9373  & 0.8827 & 8.7473  \\ \hline
+Broj slojeva stijenke & 201.4071 & 2  & 100.7036 & 1.6481 & 16.3317 \\ \hline
+Pogreška (rezidual)   & 488.8245 & 8  & 61.1031  &        & 39.6378 \\ \hline
+\textbf{Ukupno}       & 1233.2279 & 17 &         &        & 100.0000 \\ \hline
+\end{tabular}
+\caption{ANOVA tablica sa SS, df, MS, F-omjerom i udjelom varijabiliteta}
+\label{tab:anova_sazetak_vlak}
+\end{table}
+
+
+
 \subsection{Obrada rezultata smičnog ispitivanja}\label{subsec:obrada_rezultata_smičnog_ispitivanja}
 
 Rezultati smičnog ispitivanja obratiti će se na isti način kao i kod vlačnog, dakle prema poglavlju \ref{subsec:obrada_rezultata_vlačnog_ispitivanja}. \\
@@ -1399,12 +1618,28 @@ Eksperiment & Orijentacija & $F_\text{max}$ [N] & Površina presjeka $A$ [mm$^2$
 \subsection{Obrada rezultata i S/N omjer}\label{subsec:obrada_rezultata_i_sn_omjer}
 Za svaku eksperimentalnu kombinaciju iz ortogonalnih matrica L18 i L27 (tablice \ref{tab:taguchi_l18_vlacni} i \ref{tab:taguchi_l27}) prikupljeni su podaci
 vlačne i smične čvrstoće (prema poglavljima \ref{subsec:obrada_rezultata_vlačnog_ispitivanja} i \ref{subsec:obrada_rezultata_smičnog_ispitivanja}) te je na temelju istih
-izračunat signal-šum (S/N) omjer prema izrazu \ref{eq:sn_ratio}. Gdje je $y_i$ izmjerena vrijednost čvrstoće u $i$-tom ponavljanju, a $n$ broj ponavljanja.\\ 
+izračunat signal-šum (S/N) omjer prema izrazu \ref{eq:sn_ratio}. Gdje je $y_i$ izmjerena vrijednost čvrstoće u $i$-tom ponavljanju, a $n$ broj ponavljanja. Budući da
+je svaki ispitni uzorak (zbog ograničenih resursa) ispitivan samo jednom, izraz \ref{eq:sn_ratio} možemo pretvoriti u izraz \ref{eq:sn_ratio_vlak} (za
+vlak) te izraz \ref{eq:sn_ratio_smik} (za smik).\\ 
+
+\begin{equation}
+    \text{S/N} = -10 \cdot \log_{10}\left ( \frac{1}{\sigma^2}\right) = 20\cdot log_{10} \left (\sigma \right )
+\label{eq:sn_ratio_vlak}
+\end{equation}
+
+\begin{equation}
+    \text{S/N} = -10 \cdot \log_{10}\left ( \frac{1}{\tau^2}\right) = 20\cdot log_{10} \left (\tau \right )
+\label{eq:sn_ratio_smik}
+\end{equation}
+
+
+
+
 
 \subsection{ANOVA analiza}\label{subsec:anova_analiza}
 
 Kako bi se kvantificirao doprinos svakog pojedinog parametra, na ukupnu varijabilnost čvstoće, provedena je analiza varijance (ANOVA).\\
-ANOVA postupak obuhvaća sljedeće postupke:\\
+ANOVA postupak obuhvaća sljedeće korake:\\
 \begin{enumerate}
     \item Izračun ukupne sume kvadrata (SST), koja predstavlja ukupnu varijabilnost rezultata:
     \begin{equation}

software/.ipynb_checkpoints/ispitni_rezultati-checkpoint.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],A_min [mm^2],A_max,Fm kN],Sigma [Mpa],Sigma’,SNR [dB]
+1,Orijentacija 1,0.08,0.4,20.00%,2,100,44.493,,0.778,7.78,17.4858966579012,17.8195919397938
+2,Orijentacija 1,0.08,0.6,55.00%,4,100,87.819,,3.299,32.99,37.5659025951104,30.3676463109069
+3,Orijentacija 1,0.08,0.8,85.00%,6,100,100,,0.794,7.94,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4,55.00%,6,100,87.6308,,2.792,27.92,31.8609438690506,28.9183082790225
+5,Orijentacija 1,0.14,0.6,85.00%,2,100,91.5613,,2.468,24.68,26.9546194735112,27.8469031072241
+6,Orijentacija 1,0.14,0.8,20.00%,4,100,93.9905,,2.871,28.71,30.5456402508764,29.1606638499301
+7,Orijentacija 1,0.28,0.4,85.00%,4,100,92.7473,,2.423,24.23,26.1247497231725,27.6870682827501
+8,Orijentacija 1,0.28,0.6,20.00%,6,100,96.3896,,1.891,18.91,19.6182990696092,25.5338305769008
+9,Orijentacija 1,0.28,0.8,55.00%,2,100,79.2649,,2.431,24.31,30.6693126465813,27.7156991768667
+10,Orijentacija 2,0.08,0.4,85.00%,4,100,35.669,,3.398,33.98,95.264795761025,30.6244674906605
+11,Orijentacija 2,0.08,0.6,20.00%,6,100,36.045,,3.218,32.18,89.277292273547,30.1517207952602
+12,Orijentacija 2,0.08,0.8,55.00%,2,100,26.908,,2.768,27.68,102.869035231158,28.8433217156944
+13,Orijentacija 2,0.14,0.4,20.00%,6,100,32.415,,2.472,24.72,76.2609902822767,27.8609693283356
+14,Orijentacija 2,0.14,0.6,55.00%,2,100,24.155,,2.527,25.27,104.616021527634,28.0521048383983
+15,Orijentacija 2,0.14,0.8,85.00%,4,100,42.804,,3.647,36.47,85.2023175404168,31.2387152662756
+16,Orijentacija 2,0.28,0.4,55.00%,4,100,26.909,,2.491,24.91,92.5712586866848,27.9274745507301
+17,Orijentacija 2,0.28,0.6,85.00%,6,100,44.555,,4.111,41.11,92.2679833913141,32.278949535607
+18,Orijentacija 2,0.28,0.8,20.00%,2,100,15.895,,2.263,22.63,142.371815036175,27.0936910790946

software/.ipynb_checkpoints/ispitni_rezultati_with_AminAmax-checkpoint.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],A_min [mm^2],A_max,Fm kN],Sigma [Mpa],Sigma’,SNR [dB],A_max [mm^2],Sigma'
+1,Orijentacija 1,0.08,0.4,0.2,2.0,100.0,27.712854757929772,,0.778,7.78,17.4858966579012,17.8195919397938,100.1669449081799,28.073614457831436
+2,Orijentacija 1,0.08,0.6,0.55,4.0,100.0,66.11018363939874,,3.299,32.99,37.5659025951104,30.3676463109069,100.1669449081799,49.901540404040595
+3,Orijentacija 1,0.08,0.8,0.85,6.0,100.0,99.8330550918193,,0.794,7.94,7.94,17.9964100485419,100.1669449081799,7.953277591973276
+4,Orijentacija 1,0.14,0.4,0.55,6.0,100.0,67.11185308848053,,2.792,27.92,31.8609438690506,28.9183082790225,100.1669449081799,41.60218905472654
+5,Orijentacija 1,0.14,0.6,0.85,2.0,100.0,69.78297161936533,,2.468,24.68,26.9546194735112,27.8469031072241,100.1669449081799,35.366794258373346
+6,Orijentacija 1,0.14,0.8,0.2,4.0,100.0,71.78631051752893,,2.871,28.71,30.5456402508764,29.1606638499301,100.1669449081799,39.99369767441876
+7,Orijentacija 1,0.28,0.4,0.85,4.0,100.0,74.45742904841373,,2.423,24.23,26.1247497231725,27.6870682827501,100.1669449081799,32.54208520179385
+8,Orijentacija 1,0.28,0.6,0.2,6.0,100.0,78.13021702838032,,1.891,18.91,19.6182990696092,25.5338305769008,100.1669449081799,24.20318376068386
+9,Orijentacija 1,0.28,0.8,0.55,2.0,100.0,55.75959933222015,,2.431,24.31,30.6693126465813,27.7156991768667,100.1669449081799,43.597874251497174
+10,Orijentacija 2,0.08,0.4,0.85,4.0,100.0,74.45742904841373,,3.398,33.98,95.264795761025,30.6244674906605,100.1669449081799,45.63681614349794
+11,Orijentacija 2,0.08,0.6,0.2,6.0,100.0,78.13021702838032,,3.218,32.18,89.277292273547,30.1517207952602,100.1669449081799,41.18764957264974
+12,Orijentacija 2,0.08,0.8,0.55,2.0,100.0,55.75959933222015,,2.768,27.68,102.869035231158,28.8433217156944,100.1669449081799,49.641676646706784
+13,Orijentacija 2,0.14,0.4,0.2,6.0,100.0,51.75292153589295,,2.472,24.72,76.2609902822767,27.8609693283356,100.1669449081799,47.7654193548389
+14,Orijentacija 2,0.14,0.6,0.55,2.0,100.0,51.41903171953235,,2.527,25.27,104.616021527634,28.0521048383983,100.1669449081799,49.14522727272747
+15,Orijentacija 2,0.14,0.8,0.85,4.0,100.0,87.81302170283772,,3.647,36.47,85.2023175404168,31.2387152662756,100.1669449081799,41.531425855513476
+16,Orijentacija 2,0.28,0.4,0.55,4.0,100.0,51.75292153589295,,2.491,24.91,92.5712586866848,27.9274745507301,100.1669449081799,48.13254838709696
+17,Orijentacija 2,0.28,0.6,0.85,6.0,100.0,90.15025041736192,,4.111,41.11,92.2679833913141,32.278949535607,100.1669449081799,45.60164814814833
+18,Orijentacija 2,0.28,0.8,0.2,2.0,100.0,39.732888146911364,,2.263,22.63,142.371815036175,27.0936910790946,100.1669449081799,56.955336134454

software/ispitni_rezultati.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],A_min [mm^2],A_max,Fm kN],Sigma [Mpa],Sigma’,SNR [dB]
+1,Orijentacija 1,0.08,0.4,20.00%,2,100,44.493,,0.778,7.78,17.4858966579012,17.8195919397938
+2,Orijentacija 1,0.08,0.6,55.00%,4,100,87.819,,3.299,32.99,37.5659025951104,30.3676463109069
+3,Orijentacija 1,0.08,0.8,85.00%,6,100,100,,0.794,7.94,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4,55.00%,6,100,87.6308,,2.792,27.92,31.8609438690506,28.9183082790225
+5,Orijentacija 1,0.14,0.6,85.00%,2,100,91.5613,,2.468,24.68,26.9546194735112,27.8469031072241
+6,Orijentacija 1,0.14,0.8,20.00%,4,100,93.9905,,2.871,28.71,30.5456402508764,29.1606638499301
+7,Orijentacija 1,0.28,0.4,85.00%,4,100,92.7473,,2.423,24.23,26.1247497231725,27.6870682827501
+8,Orijentacija 1,0.28,0.6,20.00%,6,100,96.3896,,1.891,18.91,19.6182990696092,25.5338305769008
+9,Orijentacija 1,0.28,0.8,55.00%,2,100,79.2649,,2.431,24.31,30.6693126465813,27.7156991768667
+10,Orijentacija 2,0.08,0.4,85.00%,4,100,35.669,,3.398,33.98,95.264795761025,30.6244674906605
+11,Orijentacija 2,0.08,0.6,20.00%,6,100,36.045,,3.218,32.18,89.277292273547,30.1517207952602
+12,Orijentacija 2,0.08,0.8,55.00%,2,100,26.908,,2.768,27.68,102.869035231158,28.8433217156944
+13,Orijentacija 2,0.14,0.4,20.00%,6,100,32.415,,2.472,24.72,76.2609902822767,27.8609693283356
+14,Orijentacija 2,0.14,0.6,55.00%,2,100,24.155,,2.527,25.27,104.616021527634,28.0521048383983
+15,Orijentacija 2,0.14,0.8,85.00%,4,100,42.804,,3.647,36.47,85.2023175404168,31.2387152662756
+16,Orijentacija 2,0.28,0.4,55.00%,4,100,26.909,,2.491,24.91,92.5712586866848,27.9274745507301
+17,Orijentacija 2,0.28,0.6,85.00%,6,100,44.555,,4.111,41.11,92.2679833913141,32.278949535607
+18,Orijentacija 2,0.28,0.8,20.00%,2,100,15.895,,2.263,22.63,142.371815036175,27.0936910790946

software/ispitni_rezultati_with_AminAmax.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],A_min [mm^2],A_max,Fm kN],Sigma [Mpa],Sigma’,SNR [dB],A_max [mm^2],Sigma'
+1,Orijentacija 1,0.08,0.4,0.2,2.0,100.0,27.712854757929772,,0.778,7.78,17.4858966579012,17.8195919397938,100.1669449081799,28.073614457831436
+2,Orijentacija 1,0.08,0.6,0.55,4.0,100.0,66.11018363939874,,3.299,32.99,37.5659025951104,30.3676463109069,100.1669449081799,49.901540404040595
+3,Orijentacija 1,0.08,0.8,0.85,6.0,100.0,99.8330550918193,,0.794,7.94,7.94,17.9964100485419,100.1669449081799,7.953277591973276
+4,Orijentacija 1,0.14,0.4,0.55,6.0,100.0,67.11185308848053,,2.792,27.92,31.8609438690506,28.9183082790225,100.1669449081799,41.60218905472654
+5,Orijentacija 1,0.14,0.6,0.85,2.0,100.0,69.78297161936533,,2.468,24.68,26.9546194735112,27.8469031072241,100.1669449081799,35.366794258373346
+6,Orijentacija 1,0.14,0.8,0.2,4.0,100.0,71.78631051752893,,2.871,28.71,30.5456402508764,29.1606638499301,100.1669449081799,39.99369767441876
+7,Orijentacija 1,0.28,0.4,0.85,4.0,100.0,74.45742904841373,,2.423,24.23,26.1247497231725,27.6870682827501,100.1669449081799,32.54208520179385
+8,Orijentacija 1,0.28,0.6,0.2,6.0,100.0,78.13021702838032,,1.891,18.91,19.6182990696092,25.5338305769008,100.1669449081799,24.20318376068386
+9,Orijentacija 1,0.28,0.8,0.55,2.0,100.0,55.75959933222015,,2.431,24.31,30.6693126465813,27.7156991768667,100.1669449081799,43.597874251497174
+10,Orijentacija 2,0.08,0.4,0.85,4.0,100.0,74.45742904841373,,3.398,33.98,95.264795761025,30.6244674906605,100.1669449081799,45.63681614349794
+11,Orijentacija 2,0.08,0.6,0.2,6.0,100.0,78.13021702838032,,3.218,32.18,89.277292273547,30.1517207952602,100.1669449081799,41.18764957264974
+12,Orijentacija 2,0.08,0.8,0.55,2.0,100.0,55.75959933222015,,2.768,27.68,102.869035231158,28.8433217156944,100.1669449081799,49.641676646706784
+13,Orijentacija 2,0.14,0.4,0.2,6.0,100.0,51.75292153589295,,2.472,24.72,76.2609902822767,27.8609693283356,100.1669449081799,47.7654193548389
+14,Orijentacija 2,0.14,0.6,0.55,2.0,100.0,51.41903171953235,,2.527,25.27,104.616021527634,28.0521048383983,100.1669449081799,49.14522727272747
+15,Orijentacija 2,0.14,0.8,0.85,4.0,100.0,87.81302170283772,,3.647,36.47,85.2023175404168,31.2387152662756,100.1669449081799,41.531425855513476
+16,Orijentacija 2,0.28,0.4,0.55,4.0,100.0,51.75292153589295,,2.491,24.91,92.5712586866848,27.9274745507301,100.1669449081799,48.13254838709696
+17,Orijentacija 2,0.28,0.6,0.85,6.0,100.0,90.15025041736192,,4.111,41.11,92.2679833913141,32.278949535607,100.1669449081799,45.60164814814833
+18,Orijentacija 2,0.28,0.8,0.2,2.0,100.0,39.732888146911364,,2.263,22.63,142.371815036175,27.0936910790946,100.1669449081799,56.955336134454

software/obrada/.ipynb_checkpoints/ispitni_rezultati-checkpoint.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],Fm kN],Sigma [Mpa],SNR [dB]
+1,Orijentacija 1,0.08,0.4 mm,20.00%,2,100,0.778,7.78,17.8195919397938
+2,Orijentacija 1,0.08,0.6 mm,55.00%,4,100,3.299,32.99,30.3676463109069
+3,Orijentacija 1,0.08,0.8 mm,85.00%,6,100,0.794,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4 mm,55.00%,6,100,2.792,27.92,28.9183082790225
+5,Orijentacija 1,0.14,0.6 mm,85.00%,2,100,2.468,24.68,27.8469031072241
+6,Orijentacija 1,0.14,0.8 mm,20.00%,4,100,2.871,28.71,29.1606638499301
+7,Orijentacija 1,0.28,0.4 mm,85.00%,4,100,2.423,24.23,27.6870682827501
+8,Orijentacija 1,0.28,0.6 mm,20.00%,6,100,1.891,18.91,25.5338305769008
+9,Orijentacija 1,0.28,0.8 mm,55.00%,2,100,2.431,24.31,27.7156991768667
+10,Orijentacija 2,0.08,0.4 mm,85.00%,4,100,3.398,33.98,30.6244674906605
+11,Orijentacija 2,0.08,0.6 mm,20.00%,6,100,3.218,32.18,30.1517207952602
+12,Orijentacija 2,0.08,0.8 mm,55.00%,2,100,2.768,27.68,28.8433217156944
+13,Orijentacija 2,0.14,0.4 mm,20.00%,6,100,2.472,24.72,27.8609693283356
+14,Orijentacija 2,0.14,0.6 mm,55.00%,2,100,2.527,25.27,28.0521048383983
+15,Orijentacija 2,0.14,0.8 mm,85.00%,4,100,3.647,36.47,31.2387152662756
+16,Orijentacija 2,0.28,0.4 mm,55.00%,4,100,2.491,24.91,27.9274745507301
+17,Orijentacija 2,0.28,0.6 mm,85.00%,6,100,4.111,41.11,32.278949535607
+18,Orijentacija 2,0.28,0.8 mm,20.00%,2,100,2.263,22.63,27.0936910790946

software/obrada/.ipynb_checkpoints/obrada-checkpoint.ipynb

@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 5
+}

software/obrada/ispitni_rezultati.csv

@@ -0,0 +1,19 @@
+Eksperiment,Orijentacija,Visina sloja,Širina ekstruzije,Postotak ispune,Broj slojeva stijenke,A_ekv [mm^2],Fm kN],Sigma [Mpa],SNR [dB]
+1,Orijentacija 1,0.08,0.4 mm,20.00%,2,100,0.778,7.78,17.8195919397938
+2,Orijentacija 1,0.08,0.6 mm,55.00%,4,100,3.299,32.99,30.3676463109069
+3,Orijentacija 1,0.08,0.8 mm,85.00%,6,100,0.794,7.94,17.9964100485419
+4,Orijentacija 1,0.14,0.4 mm,55.00%,6,100,2.792,27.92,28.9183082790225
+5,Orijentacija 1,0.14,0.6 mm,85.00%,2,100,2.468,24.68,27.8469031072241
+6,Orijentacija 1,0.14,0.8 mm,20.00%,4,100,2.871,28.71,29.1606638499301
+7,Orijentacija 1,0.28,0.4 mm,85.00%,4,100,2.423,24.23,27.6870682827501
+8,Orijentacija 1,0.28,0.6 mm,20.00%,6,100,1.891,18.91,25.5338305769008
+9,Orijentacija 1,0.28,0.8 mm,55.00%,2,100,2.431,24.31,27.7156991768667
+10,Orijentacija 2,0.08,0.4 mm,85.00%,4,100,3.398,33.98,30.6244674906605
+11,Orijentacija 2,0.08,0.6 mm,20.00%,6,100,3.218,32.18,30.1517207952602
+12,Orijentacija 2,0.08,0.8 mm,55.00%,2,100,2.768,27.68,28.8433217156944
+13,Orijentacija 2,0.14,0.4 mm,20.00%,6,100,2.472,24.72,27.8609693283356
+14,Orijentacija 2,0.14,0.6 mm,55.00%,2,100,2.527,25.27,28.0521048383983
+15,Orijentacija 2,0.14,0.8 mm,85.00%,4,100,3.647,36.47,31.2387152662756
+16,Orijentacija 2,0.28,0.4 mm,55.00%,4,100,2.491,24.91,27.9274745507301
+17,Orijentacija 2,0.28,0.6 mm,85.00%,6,100,4.111,41.11,32.278949535607
+18,Orijentacija 2,0.28,0.8 mm,20.00%,2,100,2.263,22.63,27.0936910790946

software/obrada/obrada.ipynb

@@ -0,0 +1,300 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "5d58304b-e94b-428b-91c8-35d649d97dd7",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "usage: ipykernel_launcher.py [-h] --input INPUT [--outdir OUTDIR]\n",
+      "                             [--response RESPONSE] [--area_col AREA_COL]\n",
+      "                             [--fm_col FM_COL] [--recompute_sigma]\n",
+      "                             [--sn_type {LB}]\n",
+      "ipykernel_launcher.py: error: the following arguments are required: --input\n"
+     ]
+    },
+    {
+     "ename": "SystemExit",
+     "evalue": "2",
+     "output_type": "error",
+     "traceback": [
+      "An exception has occurred, use %tb to see the full traceback.\n",
+      "\u001b[0;31mSystemExit\u001b[0m\u001b[0;31m:\u001b[0m 2\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/usr/lib/python3.13/site-packages/IPython/core/interactiveshell.py:3585: UserWarning: To exit: use 'exit', 'quit', or Ctrl-D.\n",
+      "  warn(\"To exit: use 'exit', 'quit', or Ctrl-D.\", stacklevel=1)\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "#!/usr/bin/env python3\n",
+    "# -*- coding: utf-8 -*-\n",
+    "\"\"\"\n",
+    "Taguchi analysis pipeline for FDM experiment (per user's thesis)\n",
+    "- Reads a CSV with columns similar to:\n",
+    "  'Eksperiment','Orijentacija','Visina sloja','Širina ekstruzije','Postotak ispune',\n",
+    "  'Broj slojeva stijenke','A_ekv [mm^2]','Fm kN]','Sigma [Mpa]','SNR [dB]'\n",
+    "- Cleans units to numeric, recomputes Sigma (optional) and SNR (LB, n=1),\n",
+    "- Builds response tables (means, Δ), ranks factors, selects optimal levels by SNR,\n",
+    "- Predicts response at optimal combination (additive model),\n",
+    "- Runs Taguchi-style ANOVA on Sigma,\n",
+    "- Saves CSV outputs + main-effects plots + LaTeX snippet.\n",
+    "Usage:\n",
+    "    python taguchi_from_csv.py --input ispitni_rezultati.csv --outdir out_tlak\n",
+    "\"\"\"\n",
+    "import argparse, os, re, json\n",
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "def norm_num(x):\n",
+    "    if pd.isna(x):\n",
+    "        return np.nan\n",
+    "    if isinstance(x, (int, float, np.number)):\n",
+    "        return float(x)\n",
+    "    s = str(x).strip()\n",
+    "    s = s.replace(',', '.')\n",
+    "    s = s.replace('%','')\n",
+    "    s = s.replace(' mm','')\n",
+    "    s = s.replace('MPa','').replace('Mpa','')\n",
+    "    s = s.replace('kN','').replace('kN]','').replace('[','').replace(']','')\n",
+    "    try:\n",
+    "        return float(s)\n",
+    "    except:\n",
+    "        return np.nan\n",
+    "\n",
+    "def compute_snr_lb(y):\n",
+    "    # larger-the-better; handles n=1 case\n",
+    "    y = pd.to_numeric(y, errors='coerce')\n",
+    "    return 20.0*np.log10(y.clip(lower=1e-12))\n",
+    "\n",
+    "def response_table(df, factor, col):\n",
+    "    t = df.groupby(factor, as_index=False)[col].mean()\n",
+    "    t[\"Delta (max-min)\"] = t[col].max() - t[col].min()\n",
+    "    t[\"Faktor\"] = factor\n",
+    "    return t\n",
+    "\n",
+    "def taguchi_anova(df, response, factors):\n",
+    "    y = df[response].astype(float)\n",
+    "    mu = y.mean()\n",
+    "    total_ss = ((y - mu)**2).sum()\n",
+    "    rows = []\n",
+    "    dof_used = 0\n",
+    "    ss_used = 0.0\n",
+    "    for f in factors:\n",
+    "        grp = df.groupby(f)[response].agg(['mean','count'])\n",
+    "        ss_f = (grp['count']*(grp['mean']-mu)**2).sum()\n",
+    "        dof_f = grp.shape[0]-1\n",
+    "        rows.append([f, ss_f, dof_f])\n",
+    "        dof_used += dof_f\n",
+    "        ss_used += ss_f\n",
+    "    err_ss = max(total_ss - ss_used, 0.0)\n",
+    "    err_dof = max(len(df)-1 - dof_used, 0)\n",
+    "    an = pd.DataFrame(rows, columns=[\"Factor\",\"SS\",\"DOF\"])\n",
+    "    an[\"MS\"] = an[\"SS\"]/an[\"DOF\"]\n",
+    "    an[\"Pct_contrib_%\"] = (an[\"SS\"]/total_ss*100.0) if total_ss>0 else np.nan\n",
+    "    err_row = pd.DataFrame([[\"Error\", err_ss, err_dof, (err_ss/err_dof) if err_dof>0 else np.nan, (err_ss/total_ss*100.0) if total_ss>0 else np.nan]],\n",
+    "                           columns=[\"Factor\",\"SS\",\"DOF\",\"MS\",\"Pct_contrib_%\"])\n",
+    "    an = pd.concat([an, err_row], ignore_index=True)\n",
+    "    return an, mu, total_ss\n",
+    "\n",
+    "def main():\n",
+    "    ap = argparse.ArgumentParser()\n",
+    "    ap.add_argument(\"--input\", required=True, help=\"Path to CSV with results\")\n",
+    "    ap.add_argument(\"--outdir\", default=None, help=\"Output directory\")\n",
+    "    ap.add_argument(\"--response\", default=\"Sigma [Mpa]\", help=\"Response column to analyze (default Sigma [Mpa])\")\n",
+    "    ap.add_argument(\"--area_col\", default=\"A_ekv [mm^2]\", help=\"Area column if Sigma should be recomputed from Fm/Area\")\n",
+    "    ap.add_argument(\"--fm_col\", default=\"Fm kN]\", help=\"Force column (kN)\")\n",
+    "    ap.add_argument(\"--recompute_sigma\", action=\"store_true\", help=\"If set, recompute Sigma = Fm*1000/Area\")\n",
+    "    ap.add_argument(\"--sn_type\", default=\"LB\", choices=[\"LB\"], help=\"S/N type (only LB supported here)\")\n",
+    "    args = ap.parse_args()\n",
+    "\n",
+    "    in_path = args.input\n",
+    "    outdir = args.outdir or (os.path.splitext(os.path.basename(in_path))[0] + \"_taguchi_out\")\n",
+    "    os.makedirs(outdir, exist_ok=True)\n",
+    "\n",
+    "    df = pd.read_csv(in_path)\n",
+    "\n",
+    "    # Standard column mapping / cleanup for known names\n",
+    "    rename_map = {\n",
+    "        \"Visina sloja\":\"Visina sloja [mm]\",\n",
+    "        \"Širina ekstruzije\":\"Širina ekstruzije [mm]\",\n",
+    "        \"Postotak ispune\":\"Postotak ispune [%]\",\n",
+    "        \"Broj slojeva stijenke\":\"Broj stijenki\",\n",
+    "        \"Sigma [MPa]\":\"Sigma [Mpa]\",\n",
+    "        \"Fm [kN]\":\"Fm kN]\",\n",
+    "    }\n",
+    "    df = df.rename(columns={k:v for k,v in rename_map.items() if k in df.columns})\n",
+    "\n",
+    "    # Ensure numeric for relevant columns\n",
+    "    if \"Visina sloja [mm]\" in df.columns:\n",
+    "        df[\"Visina sloja [mm]\"] = df[\"Visina sloja [mm]\"].apply(norm_num)\n",
+    "    if \"Širina ekstruzije [mm]\" in df.columns:\n",
+    "        df[\"Širina ekstruzije [mm]\"] = df[\"Širina ekstruzije [mm]\"].apply(norm_num)\n",
+    "    if \"Postotak ispune [%]\" in df.columns:\n",
+    "        df[\"Postotak ispune [%]\"] = df[\"Postotak ispune [%]\"].apply(norm_num)\n",
+    "    if \"Broj stijenki\" in df.columns:\n",
+    "        df[\"Broj stijenki\"] = df[\"Broj stijenki\"].apply(norm_num)\n",
+    "    if args.area_col in df.columns:\n",
+    "        df[args.area_col] = df[args.area_col].apply(norm_num)\n",
+    "    if args.fm_col in df.columns:\n",
+    "        df[args.fm_col] = df[args.fm_col].apply(norm_num)\n",
+    "    if args.response in df.columns:\n",
+    "        df[args.response] = df[args.response].apply(norm_num)\n",
+    "\n",
+    "    # Compute Sigma if asked or missing\n",
+    "    if args.recompute_sigma or args.response not in df.columns or df[args.response].isna().all():\n",
+    "        if args.fm_col in df.columns and args.area_col in df.columns:\n",
+    "            df[args.response] = (df[args.fm_col] * 1000.0) / df[args.area_col]\n",
+    "        else:\n",
+    "            raise SystemExit(\"Cannot recompute Sigma: missing Fm or Area columns\")\n",
+    "\n",
+    "    # Compute SNR (LB)\n",
+    "    df[\"SNR_LB [dB]\"] = compute_snr_lb(df[args.response])\n",
+    "\n",
+    "    # Save cleaned raw\n",
+    "    raw_out = os.path.join(outdir, \"0_raw_with_SNR.csv\")\n",
+    "    df.to_csv(raw_out, index=False)\n",
+    "\n",
+    "    # Factors to analyze (auto detect from known list)\n",
+    "    candidate_factors = [\"Orijentacija\",\"Visina sloja [mm]\",\"Širina ekstruzije [mm]\",\"Postotak ispune [%]\",\"Broj stijenki\"]\n",
+    "    factors = [f for f in candidate_factors if f in df.columns]\n",
+    "    if len(factors) == 0:\n",
+    "        raise SystemExit(\"No known factor columns found. Expected some of: \" + \", \".join(candidate_factors))\n",
+    "\n",
+    "    # Response tables and deltas\n",
+    "    resp_mu = pd.concat([response_table(df, f, args.response) for f in factors], ignore_index=True)\n",
+    "    resp_sn = pd.concat([response_table(df, f, \"SNR_LB [dB]\") for f in factors], ignore_index=True)\n",
+    "    resp_mu.to_csv(os.path.join(outdir, \"1_response_means_Sigma.csv\"), index=False)\n",
+    "    resp_sn.to_csv(os.path.join(outdir, \"2_response_means_SNR.csv\"), index=False)\n",
+    "\n",
+    "    # Ranking (by Delta)\n",
+    "    rank_mu = resp_mu.groupby(\"Faktor\")[\"Delta (max-min)\"].max().sort_values(ascending=False).reset_index().rename(columns={\"Delta (max-min)\":\"Rang delta (Sigma)\"})\n",
+    "    rank_sn = resp_sn.groupby(\"Faktor\")[\"Delta (max-min)\"].max().sort_values(ascending=False).reset_index().rename(columns={\"Delta (max-min)\":\"Rang delta (SNR)\"})\n",
+    "    ranking = pd.merge(rank_mu, rank_sn, on=\"Faktor\")\n",
+    "    ranking.to_csv(os.path.join(outdir, \"3_factor_ranking.csv\"), index=False)\n",
+    "\n",
+    "    # Optimal levels by SNR\n",
+    "    opt_levels = {f: df.groupby(f)[\"SNR_LB [dB]\"].mean().sort_values(ascending=False).index[0] for f in factors}\n",
+    "    opt_table = pd.DataFrame({\"Faktor\": list(opt_levels.keys()), \"Optimalna razina (po S/N)\": list(opt_levels.values())})\n",
+    "    opt_table.to_csv(os.path.join(outdir, \"4_optimal_levels.csv\"), index=False)\n",
+    "\n",
+    "    # Prediction at optimal combo (additive model) on response\n",
+    "    grand_mean = df[args.response].mean()\n",
+    "    k = len(factors)\n",
+    "    pred_sigma = sum(df.groupby(f)[args.response].mean().loc[opt_levels[f]] for f in factors) - (k-1)*grand_mean\n",
+    "    grand_mean_snr = df[\"SNR_LB [dB]\"].mean()\n",
+    "    pred_snr = sum(df.groupby(f)[\"SNR_LB [dB]\"].mean().loc[opt_levels[f]] for f in factors) - (k-1)*grand_mean_snr\n",
+    "    pred_df = pd.DataFrame({\n",
+    "        \"Predikcija\": [\"Sigma_opt [MPa]\",\"SNR_opt [dB]\",\"Grand mean Sigma [MPa]\",\"Grand mean SNR [dB]\"],\n",
+    "        \"Vrijednost\": [pred_sigma, pred_snr, grand_mean, grand_mean_snr]\n",
+    "    })\n",
+    "    pred_df.to_csv(os.path.join(outdir, \"5_prediction.csv\"), index=False)\n",
+    "\n",
+    "    # ANOVA (Taguchi-style) on response\n",
+    "    anova_df, mu_sigma, totss = taguchi_anova(df, args.response, factors)\n",
+    "    anova_df.to_csv(os.path.join(outdir, \"6_anova_sigma.csv\"), index=False)\n",
+    "\n",
+    "    # Plots: main effects for SNR\n",
+    "    for f in factors:\n",
+    "        means = df.groupby(f)[\"SNR_LB [dB]\"].mean().reset_index()\n",
+    "        # numeric sort if possible\n",
+    "        try:\n",
+    "            means[f] = pd.to_numeric(means[f], errors=\"ignore\")\n",
+    "            means = means.sort_values(by=f)\n",
+    "        except:\n",
+    "            pass\n",
+    "        plt.figure()\n",
+    "        plt.plot(means[f], means[\"SNR_LB [dB]\"], marker=\"o\")\n",
+    "        plt.xlabel(f)\n",
+    "        plt.ylabel(\"S/N (LB) [dB]\")\n",
+    "        plt.title(f\"Main effect (S/N): {f}\")\n",
+    "        plt.tight_layout()\n",
+    "        plt.savefig(os.path.join(outdir, f\"main_effect_SNR_{f}.png\"), dpi=150)\n",
+    "        plt.close()\n",
+    "\n",
+    "    # LaTeX snippet\n",
+    "    latex_lines = []\n",
+    "    latex_lines.append(r\"% --- Taguchi rezultati (S = Sigma [MPa], S/N larger-the-better) ---\")\n",
+    "    latex_lines.append(r\"\\subsection{Rezultati Taguchijeve metode}\")\n",
+    "    latex_lines.append(r\"U skladu s ortogonalnom matricom provedena je analiza s kriterijem \\textbf{što-veće-to-bolje}. Za svaku kombinaciju izračunat je S/N omjer \\((\\mathrm{S/N}=20\\log_{10}(\\sigma))\\) te su određeni glavni učinci po razinama i optimalna kombinacija.\")\n",
+    "\n",
+    "    # Optimal levels\n",
+    "    latex_lines.append(r\"\\paragraph{Optimalne razine (po S/N).}\")\n",
+    "    latex_lines.append(opt_table.to_latex(index=False, escape=False))\n",
+    "    # Prediction\n",
+    "    latex_lines.append(r\"\\paragraph{Predikcija odziva na optimalnoj kombinaciji.}\")\n",
+    "    latex_lines.append(pred_df.to_latex(index=False, escape=False, float_format='%.2f'))\n",
+    "    # Ranking\n",
+    "    latex_lines.append(r\"\\paragraph{Rang utjecaja faktora.}\")\n",
+    "    latex_lines.append(ranking.to_latex(index=False, escape=False, float_format='%.3f'))\n",
+    "    # ANOVA\n",
+    "    an_fmt = anova_df.copy()\n",
+    "    for c in [\"SS\",\"MS\",\"Pct_contrib_%\"]:\n",
+    "        if c in an_fmt.columns:\n",
+    "            an_fmt[c] = an_fmt[c].astype(float).round(3)\n",
+    "    latex_lines.append(r\"\\paragraph{ANOVA (Taguchi).}\")\n",
+    "    latex_lines.append(an_fmt.to_latex(index=False, escape=False))\n",
+    "    latex_lines.append(r\"Napomena: budući da je \\(n{=}1\\), pogreška (Error) procijenjena je iz preostalih stupnjeva slobode (Taguchi pooling).\")\n",
+    "\n",
+    "    with open(os.path.join(outdir, \"taguchi_results.tex\"), \"w\", encoding=\"utf-8\") as f:\n",
+    "        f.write(\"\\n\\n\".join(latex_lines))\n",
+    "\n",
+    "    # Small JSON summary\n",
+    "    summary = {\n",
+    "        \"outdir\": outdir,\n",
+    "        \"factors\": factors,\n",
+    "        \"opt_levels\": opt_levels,\n",
+    "        \"pred_sigma\": pred_sigma,\n",
+    "        \"grand_mean_sigma\": grand_mean,\n",
+    "    }\n",
+    "    with open(os.path.join(outdir, \"summary.json\"), \"w\", encoding=\"utf-8\") as f:\n",
+    "        json.dump(summary, f, ensure_ascii=False, indent=2)\n",
+    "\n",
+    "    print(\"Done. Outputs in:\", outdir)\n",
+    "\n",
+    "if __name__ == \"__main__\":\n",
+    "    main()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "56399c17-5135-4fa3-8809-358fef72570b",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.13.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}