Minggu, 03 Desember 2023

Kode Program : R Studio (Identifikasi Outlier, Uji Normalitas, Uji Homogenitas Varians, Independent Sample T-Test, dll)

Kode Program : R Studio (Identifikasi Outlier, Uji Normalitas, Uji Homogenitas Varians, Independent Sample T-Test, dll).

#generate normal random distribution for 20 samples

nilaiPreKlEksp <- rnorm(20, mean=55, sd=4.3)

nilaiPostKlEksp <- rnorm(20, mean=82, sd=4)


nilaiPreKlKontr <- rnorm(20, mean=68, sd=3.2)

nilaiPostKlKontr <- rnorm(20, mean=78, sd=3)


nilaiPreKlEksp

nilaiPostKlEksp

nilaiPreKlKontr

nilaiPostKlKontr


library(readr)

IndependentSampleTTest <- read_csv("D:/HAVIZUL DATA 2023/2023 Desain dan Analisas Eksperimen/IndependentSampleTTest.csv")

IndependentSampleTTest

print(IndependentSampleTTest, n=40)


#getwd() #Shows the default working directory 

IndependentSampleTTest <- read.csv("D:/HAVIZUL DATA 2023/2023 Desain dan Analisas Eksperimen/IndependentSampleTTest.txt")

IndependentSampleTTest

class(IndependentSampleTTest)


library(readxl)

IndependentSampleTTest <- read_excel("D:/HAVIZUL DATA 2023/2023 Desain dan Analisas Eksperimen/IndependentSampleTTest.xlsx", sheet = "Sheet1")

print(IndependentSampleTTest, n = 40)


nilaiKelEksp <- subset(IndependentSampleTTest$Nilai, IndependentSampleTTest$Kelompok == "E")

nilaiKelEksp

nilaiKelKontr <- subset(IndependentSampleTTest$Nilai, IndependentSampleTTest$Kelompok == "K")

nilaiKelKontr


#Uji normalitas dengan shapiro wilk

shapiro.test(nilaiKelEksp)

shapiro.test(nilaiKelKontr)


#Uji normalitas dengan visual

library("ggplot2")

library("ggpubr")


ggdensity(nilaiKelEksp, fill = "green")

ggqqplot(nilaiKelEksp)

ggdensity(nilaiKelKontr, fill = "blue")

ggqqplot(nilaiKelKontr)


hist(nilaiKelEksp)

hist(nilaiKelKontr)


#Uji Homogenitas Variansi (F-Test)

#var.test(IndependentSampleTTest$Nilai~IndependentSampleTTest$Kelompok, data = IndependentSampleTTest)

var.test(Nilai~Kelompok, data = IndependentSampleTTest)


#Uji Homogenitas Varians dengan Bartlett

bartlett.test(Nilai~Kelompok, data = IndependentSampleTTest)



#Uji Homogenitas Variansi dengan Levene Test

library(carData)

library(car)

leveneTest(Nilai~Kelompok, data = IndependentSampleTTest)


#Visualisasi Variability 

#Sumber : https://cran.r-project.org/web/packages/VCA/vignettes/VCA_package_vignette.html

#install.packages("VCA")

#library(VCA)

#data("VCAdata1")

#VCAdata1

#datS5 <- subset(VCAdata1, sample==5)

#datS5

#varPlot(form = Nilai~Kelompok, Data = IndependentSampleTTest)


#INDEPENDENT SAMPLE T-TEST

#Data deskriptif

IndependentSampleTTest %>% group_by(Kelompok) %>% get_summary_stats(Nilai, type = "mean_sd")


#Visualisasi dengan boxplot

ggboxplot(IndependentSampleTTest, x = "Kelompok", y = "Nilai", ylab = "Nilai (Gain Score)", xlab = "Kelompok", add = "jitter")


#Identifikasi nilai outlier 

#Cara Manual (sumber: https://www.reneshbedre.com/blog/find-outliers.html) :

# get median

med = median(nilaiKelEksp)

# subtract median from each value of x and get absolute deviation

abs_dev = abs(nilaiKelEksp-med)

# get MAD

mad = 1.4826 * median(abs_dev)

# get threshold values for outliers

Tmin = med-(3*mad) 

Tmax = med+(3*mad) 

# find outlier

nilaiKelEksp[which(nilaiKelEksp < Tmin | nilaiKelEksp > Tmax)]

# remove outlier

#x[which(x > Tmin & x < Tmax)]


# get median

med = median(nilaiKelKontr)

# subtract median from each value of x and get absolute deviation

abs_dev = abs(nilaiKelKontr-med)

# get MAD

mad = 1.4826 * median(abs_dev)

# get threshold values for outliers

Tmin = med-(3*mad) 

Tmax = med+(3*mad) 

# find outlier

nilaiKelKontr[which(nilaiKelKontr < Tmin | nilaiKelKontr > Tmax)]

# remove outlier

#x[which(x > Tmin & x < Tmax)]


#Cara otomatis (mengidentifikasi outliers berdasarkan kelompok) (Sumber : Buku Alboukadel Kassambara)

library(rstatix)

IndependentSampleTTest %>% 

  group_by(Kelompok) %>% 

  identify_outliers(Nilai)


#Uji Normalitas Shapiro Wilk by groups

IndependentSampleTTest %>% group_by(Kelompok) %>% shapiro_test(Nilai)

#Draw qqplot by group

ggqqplot(IndependentSampleTTest, x = "Nilai", facet.by = "Kelompok")


#Uji kesetaraan variansi dengan Levene's Test

IndependentSampleTTest %>% levene_test(Nilai~Kelompok)


#Independent Sample T-Test untuk variansi sama : STUDENT T-TEST

IndependentSampleTTest %>% t_test(Nilai ~ Kelompok, var.equal = TRUE, detailed = TRUE, alternative = "greater") %>% add_significance()


#Independent Sample T-Test untuk variansi tidak sama : WELTCH T-TEST

IndependentSampleTTest %>% t_test(Nilai ~ Kelompok, var.equal = FALSE, detailed = TRUE, alternative = "greater") %>% add_significance()





Selasa, 24 Oktober 2023

Program Uji Normalitas Shapiro-Wilk (C++ - Code Blocks)

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#include <iostream>
#include <math.h>

// C++ program to demonstrate default behaviour of
// sort() in STL.
#include <bits/stdc++.h>    //for sort function
//#include <array>
#include <cmath>

using namespace std;

//Fungsi mengurutkan data nilai terendah ke terbesar
//sumber: https://www.geeksforgeeks.org/sort-c-stl/
float tabelSW(int r, int c, int display)     //Tabel 2 Shapiro Wilk - Probabilitas
{
    float arr[48][9] = {    { 0.753,0.756,0.767,0.789,0.959,0.998,0.999,1,1 },
                            { 0.687,0.707,0.748,0.792,0.935,0.987,0.992,0.996,0.997 },
                            { 0.686,0.715,0.762,0.806,0.927,0.979,0.986,0.991,0.993 },
                            { 0.713,0.743,0.788,0.826,0.927,0.974,0.981,0.986,0.989 },
                            { 0.73,0.76,0.803,0.838,0.928,0.972,0.979,0.985,0.988 },
                            { 0.749,0.778,0.818,0.851,0.932,0.972,0.978,0.984,0.987 },
                            { 0.764,0.791,0.829,0.859,0.935,0.972,0.978,0.984,0.986 },
                            { 0.781,0.806,0.842,0.869,0.938,0.972,0.978,0.983,0.986 },
                            { 0.792,0.817,0.85,0.876,0.94,0.973,0.979,0.984,0.986 },
                            { 0.805,0.828,0.859,0.883,0.943,0.973,0.979,0.984,0.986 },
                            { 0.814,0.837,0.866,0.889,0.945,0.974,0.979,0.984,0.986 },
                            { 0.825,0.846,0.874,0.895,0.947,0.975,0.98,0.984,0.986 },
                            { 0.835,0.855,0.881,0.901,0.95,0.975,0.98,0.984,0.987 },
                            { 0.844,0.863,0.887,0.906,0.952,0.976,0.981,0.985,0.987 },
                            { 0.851,0.869,0.892,0.91,0.954,0.977,0.981,0.985,0.987 },
                            { 0.858,0.874,0.897,0.914,0.956,0.978,0.982,0.986,0.988 },
                            { 0.863,0.879,0.901,0.917,0.957,0.978,0.982,0.986,0.988 },
                            { 0.868,0.884,0.905,0.92,0.959,0.979,0.983,0.986,0.988 },
                            { 0.873,0.888,0.908,0.923,0.96,0.98,0.983,0.987,0.989 },
                            { 0.878,0.892,0.911,0.926,0.961,0.98,0.984,0.987,0.989 },
                            { 0.881,0.895,0.914,0.928,0.962,0.981,0.984,0.987,0.989 },
                            { 0.884,0.898,0.916,0.93,0.963,0.981,0.984,0.987,0.989 },
                            { 0.888,0.901,0.918,0.931,0.964,0.981,0.985,0.988,0.989 },
                            { 0.891,0.904,0.92,0.933,0.965,0.982,0.985,0.988,0.989 },
                            { 0.894,0.906,0.923,0.935,0.965,0.982,0.985,0.988,0.99 },
                            { 0.896,0.908,0.924,0.936,0.966,0.982,0.985,0.988,0.99 },
                            { 0.898,0.91,0.926,0.937,0.966,0.982,0.985,0.988,0.99 },
                            { 0.9,0.912,0.927,0.939,0.967,0.983,0.985,0.988,0.99 },
                            { 0.902,0.914,0.929,0.94,0.967,0.983,0.986,0.988,0.99 },
                            { 0.904,0.915,0.93,0.941,0.968,0.983,0.986,0.988,0.99 },
                            { 0.906,0.917,0.931,0.942,0.968,0.983,0.986,0.989,0.99 },
                            { 0.908,0.919,0.933,0.943,0.969,0.983,0.986,0.989,0.99 },
                            { 0.91,0.92,0.934,0.944,0.969,0.984,0.986,0.989,0.99 },
                            { 0.912,0.922,0.935,0.945,0.97,0.984,0.986,0.989,0.99 },
                            { 0.914,0.924,0.936,0.946,0.97,0.984,0.987,0.989,0.99 },
                            { 0.916,0.925,0.938,0.947,0.971,0.984,0.987,0.989,0.99 },
                            { 0.917,0.927,0.939,0.948,0.971,0.984,0.987,0.989,0.991 },
                            { 0.919,0.928,0.94,0.949,0.972,0.985,0.987,0.989,0.991 },
                            { 0.92,0.929,0.941,0.95,0.972,0.985,0.987,0.989,0.991 },
                            { 0.922,0.93,0.942,0.951,0.972,0.985,0.987,0.989,0.991 },
                            { 0.923,0.932,0.943,0.951,0.973,0.985,0.987,0.99,0.991 },
                            { 0.924,0.933,0.944,0.952,0.973,0.985,0.987,0.99,0.991 },
                            { 0.926,0.934,0.945,0.953,0.973,0.985,0.988,0.99,0.991 },
                            { 0.927,0.935,0.945,0.953,0.974,0.985,0.988,0.99,0.991 },
                            { 0.928,0.936,0.946,0.954,0.974,0.985,0.988,0.99,0.991 },
                            { 0.929,0.937,0.947,0.954,0.974,0.985,0.988,0.99,0.991 },
                            { 0.929,0.939,0.947,0.955,0.974,0.985,0.988,0.99,0.991 },
                            { 0.93,0.938,0.947,0.955,0.974,0.985,0.988,0.99,0.991 }
                          };

	//double n = sizeof(arr) / sizeof(arr[0]);

	/*Here we take two parameters, the beginning of the
	array and the length n upto which we want the array to
	be sorted*/

    if (display == 1)
    {
        cout << "TABEL 2 SHAPIRO WILK - P-VALUES \n";
        cout << "------------------------------------------------------------------------------\n";
        cout << "n\\p \t0.01 \t0.02 \t0.05 \t0.1 \t0.5 \t0.9 \t0.95 \t0.98 \t0.99 \n";
        cout << "------------------------------------------------------------------------------\n";

        for (int r = 0; r < 48; r++)
        {
            cout << r+3 << "\t";
            for(int c = 0; c < 9; c++)
            {
                cout << arr[r][c] << "\t";

            }
            cout << endl;
        }
    cout << "------------------------------------------------------------------------------\n\n\n";
    }

    return arr[r][c];
}

float tableCofficientA(int r, int c, int display)    //n=2-14, a1-a7
{
    float tabelCoffA[8][16] =   {   {   0,	0.7071, 	0.7071, 	0.6872, 	0.6646, 	0.6431, 	0.6233, 	0.6052, 	0.5888, 	0.5739, 	0.5601, 	0.5475, 	0.5359, 	0.5251   },
                                    {   0,	0, 	0, 	0.1677, 	0.2413, 	0.2806, 	0.3031, 	0.3164, 	0.3244, 	0.3291, 	0.3315, 	0.3325, 	0.3325, 	0.3318   },
                                    {   0,	0, 	0, 	0, 	0, 	0.0875, 	0.1401, 	0.1743, 	0.1976, 	0.2141, 	0.226, 	0.2347, 	0.2412, 	0.246   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0.0561, 	0.0947, 	0.1224, 	0.1429, 	0.1586, 	0.1707, 	0.1802   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0399, 	0.0695, 	0.0922, 	0.1099, 	0.124   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0303, 	0.0539, 	0.0727   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.024   }
                                };

    if (display != 0)
    {
        cout << "TABEL 1 (A) SHAPIRO WILK - COFFICIENTS \n";
        cout << setfill('-') << setw(118) << "" << setfill(' ') << endl;
        cout << right << setw(8) << "-\\n=  " << left << setw(8) << "1" << setw(8) << "2" << setw(8) << "3" << setw(8) << "4" << setw(8) << "5" << setw(8) << "6" << setw(8) << "7" << setw(8) << "8" << setw(8) << "9" << setw(8) << "10" << setw(8) << "11" << setw(8) << "12" << setw(8) << "13" << setw(8) << "14" << endl;
        cout << setfill('-') << setw(118) << "" << setfill(' ') << endl;

        for (int b = 0; b < 7; b++)
        {
            for(int k = 0; k < 14; k++)
            {
                if (k==0)
                {
                    cout << left << "a" << setw(7) << b+1;
                    cout << left << setw(8) << tabelCoffA[b][k] ;
                }
                else
                {
                    //cout << tabelCoffA[b][k] << "\t";
                    cout << left << setw(8) << tabelCoffA[b][k] ;
                }
            }
            cout << endl;
        }
        cout << setfill('-') << setw(118) << "" << setfill(' ') << endl << endl << endl;
    }
    //cout << tabelCoffA[0][1] << endl << endl << endl;

    return tabelCoffA[r][c];
}

float tableCofficientB(int r, int c, int display)    //n=2-14, a1-a7
{
    float tabelCoffB[14][13] =   {  {   0.515,	0.5056, 	0.4968, 	0.4886, 	0.4808, 	0.4734, 	0.4643, 	0.459, 	0.4542, 	0.4493, 	0.445, 	0.4407   },
                                    {   0.3306,	0.329, 	0.3273, 	0.3253, 	0.3232, 	0.3211, 	0.3185, 	0.3156, 	0.3126, 	0.3098, 	0.3069, 	0.3043   },
                                    {   0.2495,	0.2521, 	0.254, 	0.2553, 	0.2561, 	0.2565, 	0.2578, 	0.2571, 	0.2563, 	0.2554, 	0.2543, 	0.2533   },
                                    {   0.1878,	0.1939, 	0.1988, 	0.2027, 	0.2059, 	0.2085, 	0.2119, 	0.2131, 	0.2139, 	0.2145, 	0.2148, 	0.2151   },
                                    {   0.1353,	0.1447, 	0.1524, 	0.1587, 	0.1641, 	0.1686, 	0.1736, 	0.1764, 	0.1787, 	0.1807, 	0.1822, 	0.1836   },
                                    {   0.088,	0.1005, 	0.1109, 	0.1197, 	0.1271, 	0.1334, 	0.1399, 	0.1443, 	0.148, 	0.1512, 	0.1539, 	0.1563   },
                                    {   0.0433,	0.0593, 	0.0725, 	0.0837, 	0.0932, 	0.1013, 	0.1092, 	0.115, 	0.1201, 	0.1245, 	0.1283, 	0.1316   },
                                    {   0,	0.0196, 	0.0359, 	0.0496, 	0.0612, 	0.0711, 	0.0804, 	0.0878, 	0.0941, 	0.0997, 	0.1046, 	0.1089   },
                                    {   0,	0, 	0, 	0.0163, 	0.0303, 	0.0422, 	0.053, 	0.0618, 	0.0696, 	0.0764, 	0.0823, 	0.0876   },
                                    {   0,	0, 	0, 	0, 	0, 	0.014, 	0.0263, 	0.0368, 	0.0459, 	0.0539, 	0.061, 	0.0672   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0.0122, 	0.0228, 	0.0321, 	0.0403, 	0.0476   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0107, 	0.02, 	0.0284   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0094   }

                                };

    if (display != 0)
    {
    cout << "TABEL 1 (B) SHAPIRO WILK - COFFICIENTS \n";
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;
    cout << setw(8) << "-\\n=  " << setw(8) << "15" << setw(8) << "16" << setw(8) << "17" << setw(8) << "18" << setw(8) << "19" << setw(8) << "20" << setw(8) << "21" << setw(8) << "22" << setw(8) << "23" << setw(8) << "24" << setw(8) << "25" << setw(8) << "26" << endl;
	cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;

	for (int b = 0; b < 13; b++)
    {
        for(int k = 0; k < 12; k++)
        {
            if (k==0)
            {
                cout << left << "a" << setw(7) << b+1;
                cout << left << setw(8) << tabelCoffB[b][k] ;
            }
            else
            {
                //cout << tabelCoffA[b][k] << "\t";
                cout << left << setw(8) << tabelCoffB[b][k] ;
            }
        }
        cout << endl;
    }
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl << endl << endl;
    }

    return tabelCoffB[r][c];
}

float tableCofficientC(int r, int c, int display)    //n=27-38, a1-a19
{
    float tabelCoffC[20][13] =   {  {   0.4366,	0.4328, 	0.4291, 	0.4254, 	0.422, 	0.4188, 	0.4156, 	0.4127, 	0.4096, 	0.4068, 	0.404, 	0.4015   },
                                    {   0.3018,	0.2992, 	0.2968, 	0.2944, 	0.2921, 	0.2898, 	0.2876, 	0.2854, 	0.2834, 	0.2813, 	0.2794, 	0.2774   },
                                    {   0.2522,	0.251, 	0.2499, 	0.2487, 	0.2475, 	0.2463, 	0.2451, 	0.2439, 	0.2427, 	0.2415, 	0.2403, 	0.2391   },
                                    {   0.2152,	0.2151, 	0.215, 	0.2148, 	0.2145, 	0.2141, 	0.2137, 	0.2132, 	0.2127, 	0.2121, 	0.2116, 	0.211   },
                                    {   0.1848,	0.1857, 	0.1864, 	0.187, 	0.1874, 	0.1878, 	0.188, 	0.1882, 	0.1883, 	0.1883, 	0.1883, 	0.1881   },
                                    {   0.1584,	0.1601, 	0.1616, 	0.163, 	0.1641, 	0.1651, 	0.166, 	0.1667, 	0.1673, 	0.1678, 	0.1683, 	0.1686   },
                                    {   0.1346,	0.1372, 	0.1395, 	0.1415, 	0.1433, 	0.1449, 	0.1463, 	0.1475, 	0.1487, 	0.1496, 	0.1505, 	0.1513   },
                                    {   0.1128,	0.1162, 	0.1192, 	0.1219, 	0.1243, 	0.1265, 	0.1284, 	0.1301, 	0.1317, 	0.1331, 	0.1344, 	0.1356   },
                                    {   0.0923,	0.0965, 	0.1002, 	0.1036, 	0.1066, 	0.1093, 	0.1118, 	0.114, 	0.116, 	0.1179, 	0.1196, 	0.1211   },
                                    {   0.0728,	0.0778, 	0.0822, 	0.0862, 	0.0899, 	0.0931, 	0.0961, 	0.0988, 	0.1013, 	0.1036, 	0.1056, 	0.1075   },
                                    {   0.054,	0.0598, 	0.065, 	0.0697, 	0.0739, 	0.0777, 	0.0812, 	0.0844, 	0.0873, 	0.09, 	0.0924, 	0.0947   },
                                    {   0.0358,	0.0424, 	0.0483, 	0.0537, 	0.0585, 	0.0629, 	0.0669, 	0.0706, 	0.0739, 	0.077, 	0.0798, 	0.0824   },
                                    {   0.0178,	0.0253, 	0.032, 	0.0381, 	0.0435, 	0.0485, 	0.053, 	0.0572, 	0.061, 	0.0645, 	0.0677, 	0.0706   },
                                    {   0,	0.0084, 	0.0159, 	0.0227, 	0.0289, 	0.0344, 	0.0395, 	0.0441, 	0.0484, 	0.0523, 	0.0559, 	0.0592   },
                                    {   0,	0, 	0, 	0.0076, 	0.0144, 	0.0206, 	0.0262, 	0.0314, 	0.0361, 	0.0404, 	0.0444, 	0.0481   },
                                    {   0,	0, 	0, 	0, 	0, 	0.0068, 	0.0131, 	0.0187, 	0.0239, 	0.0287, 	0.0331, 	0.0372   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0.0062, 	0.0119, 	0.0172, 	0.022, 	0.0264   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0057, 	0.011, 	0.0158   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0053   }
                                };

    if (display != 0)
    {
    cout << "TABEL 1 (C) SHAPIRO WILK - COFFICIENTS \n";
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;
    cout << setw(8) << "-\\n=  " << setw(8) << "27" << setw(8) << "28" << setw(8) << "29" << setw(8) << "30" << setw(8) << "31" << setw(8) << "32" << setw(8) << "33" << setw(8) << "34" << setw(8) << "35" << setw(8) << "36" << setw(8) << "37" << setw(8) << "38" << endl;
	cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;

	for (int b = 0; b < 19; b++)
    {
        for(int k = 0; k < 12; k++)
        {
            if (k==0)
            {
                cout << left << "a" << setw(7) << b+1;
                cout << left << setw(8) << tabelCoffC[b][k] ;
            }
            else
            {
                //cout << tabelCoffA[b][k] << "\t";
                cout << left << setw(8) << tabelCoffC[b][k] ;
            }
        }
        cout << endl;
    }
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl << endl << endl;
    }

    return tabelCoffC[r][c];
}

float tableCofficientD(int r, int c, int display)    //n=39-50, a1-a25
{
    float tabelCoffD[26][13] =   {  {   0.3989,	0.3964, 	0.394, 	0.3917, 	0.3894, 	0.3872, 	0.385, 	0.383, 	0.3808, 	0.3789, 	0.377, 	0.3751   },
                                    {   0.2755,	0.2737, 	0.2719, 	0.2701, 	0.2684, 	0.2667, 	0.2651, 	0.2635, 	0.262, 	0.2604, 	0.2589, 	0.2574   },
                                    {   0.238,	0.2368, 	0.2357, 	0.2345, 	0.2334, 	0.2323, 	0.2313, 	0.2302, 	0.2291, 	0.2281, 	0.2271, 	0.226   },
                                    {   0.2104,	0.2098, 	0.2091, 	0.2085, 	0.2078, 	0.2072, 	0.2065, 	0.2058, 	0.2052, 	0.2045, 	0.2038, 	0.2032   },
                                    {   0.188,	0.1878, 	0.1876, 	0.1874, 	0.1871, 	0.1868, 	0.1865, 	0.1862, 	0.1859, 	0.1855, 	0.1851, 	0.1847   },
                                    {   0.1689,	0.1691, 	0.1693, 	0.1694, 	0.1695, 	0.1695, 	0.1695, 	0.1695, 	0.1695, 	0.1693, 	0.1692, 	0.1691   },
                                    {   0.152,	0.1526, 	0.1531, 	0.1535, 	0.1539, 	0.1542, 	0.1545, 	0.1548, 	0.155, 	0.1551, 	0.1553, 	0.1554   },
                                    {   0.1366,	0.1376, 	0.1384, 	0.1392, 	0.1398, 	0.1405, 	0.141, 	0.1415, 	0.142, 	0.1423, 	0.1427, 	0.143   },
                                    {   0.1225,	0.1237, 	0.1249, 	0.1259, 	0.1269, 	0.1278, 	0.1286, 	0.1293, 	0.13, 	0.1306, 	0.1312, 	0.1317   },
                                    {   0.1092,	0.1108, 	0.1123, 	0.1136, 	0.1149, 	0.116, 	0.117, 	0.118, 	0.1189, 	0.1197, 	0.1205, 	0.1212   },
                                    {   0.0967,	0.0986, 	0.1004, 	0.102, 	0.1035, 	0.1049, 	0.1062, 	0.1073, 	0.1085, 	0.1095, 	0.1105, 	0.1113   },
                                    {   0.0848,	0.087, 	0.0891, 	0.0909, 	0.0927, 	0.0943, 	0.0959, 	0.0972, 	0.0986, 	0.0998, 	0.101, 	0.102   },
                                    {   0.0733,	0.0759, 	0.0782, 	0.0804, 	0.0824, 	0.0842, 	0.086, 	0.0876, 	0.0892, 	0.0906, 	0.919, 	0.0932   },
                                    {   0.0622,	0.0651, 	0.0677, 	0.0701, 	0.0724, 	0.0745, 	0.0765, 	0.0783, 	0.0801, 	0.0817, 	0.0832, 	0.0846   },
                                    {   0.0515,	0.0546, 	0.0575, 	0.0602, 	0.0628, 	0.0651, 	0.0673, 	0.0694, 	0.0713, 	0.0731, 	0.0748, 	0.0764   },
                                    {   0.0409,	0.0444, 	0.0476, 	0.0506, 	0.0534, 	0.056, 	0.0584, 	0.0607, 	0.0628, 	0.0648, 	0.0667, 	0.0685   },
                                    {   0.0305,	0.0343, 	0.0379, 	0.0411, 	0.0442, 	0.0471, 	0.0497, 	0.0522, 	0.0546, 	0.0568, 	0.0588, 	0.0608   },
                                    {   0.0203,	0.0244, 	0.0283, 	0.0318, 	0.0352, 	0.0383, 	0.0412, 	0.0439, 	0.0465, 	0.0489, 	0.0511, 	0.0532   },
                                    {   0.0101,	0.0146, 	0.0188, 	0.0227, 	0.0263, 	0.0296, 	0.0328, 	0.0357, 	0.0385, 	0.0411, 	0.0436, 	0.0459   },
                                    {   0,	0.0049, 	0.0094, 	0.0136, 	0.0175, 	0.0211, 	0.0245, 	0.0277, 	0.0307, 	0.0335, 	0.0361, 	0.0386   },
                                    {   0,	0, 	0, 	0.0045, 	0.0087, 	0.0126, 	0.0163, 	0.0197, 	0.0229, 	0.0259, 	0.0288, 	0.0314   },
                                    {   0,	0, 	0, 	0, 	0, 	0.0042, 	0.0081, 	0.0118, 	0.0153, 	0.0185, 	0.0215, 	0.0244   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0.0039, 	0.0076, 	0.0111, 	0.0143, 	0.0174   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.0037, 	0.0071, 	0.0104   },
                                    {   0,	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0, 	0.035   }
                                };

    if (display != 0)
    {
    cout << "TABEL 1 (D) SHAPIRO WILK - COFFICIENTS \n";
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;
    cout << setw(8) << "-\\n=  " << setw(8) << "39" << setw(8) << "40" << setw(8) << "41" << setw(8) << "42" << setw(8) << "43" << setw(8) << "44" << setw(8) << "45" << setw(8) << "46" << setw(8) << "47" << setw(8) << "48" << setw(8) << "49" << setw(8) << "50" << endl;
	cout << setfill('-') << setw(102) << "" << setfill(' ') << endl;

	for (int b = 0; b < 25; b++)
    {
        for(int k = 0; k < 12; k++)
        {
            if (k==0)
            {
                cout << left << "a" << setw(7) << b+1;
                cout << left << setw(8) << tabelCoffD[b][k] ;
            }
            else
            {
                //cout << tabelCoffA[b][k] << "\t";
                cout << left << setw(8) << tabelCoffD[b][k] ;
            }
        }
        cout << endl;
    }
    cout << setfill('-') << setw(102) << "" << setfill(' ') << endl << endl << endl;
    }

    return tabelCoffD[r][c];
}

struct dataRecord
{
    char nama[10];
    int data;
};

struct dataRecordDeFloat
{
    int nomor;
    float dataStc;
};

int requestJmlData()
{
    int n;
    while(1)
    {
        cout << "Masukkan jumlah data : ";
        cin >> n;
        cout << endl;

        if (n>50 || n<3)
        {
            cout << "Jumlah data harus lebih dari 2 dan kurang dari 50 !! \n";
        }
        else
        {
            break;
        }
    }

    return n;
}


void tabelDataArr(int n, float dtColl[])
{
    int j = 0;
    while(j<n)
    {
        cout << j+1 << "\t " << dtColl[j] << "\n";
        j++;
    }

    //Langkah2 uji normalitas shapiro wilk
    //Mereview nilai minimum dan maximum array
    cout << "Jumlah data : " << sizeof(dtColl) << " bytes" << endl; //sumber: https://www.w3schools.com/cpp/cpp_arrays_size.asp
    cout << "Jumlah data : " << sizeof(dtColl) / sizeof(int) << " elemen" << endl; //int = 4 bytes, tto get the array length
}

void tblBantu(int n, float tblBnt[][3])
{

    for (int r=0; r<n; r++)
    {
        cout << left << setw(5) << " " << setw(11) << tblBnt[r][0] << " " << setw(22) << tblBnt[r][1] << " " << setw(11) << tblBnt[r][2] << " " << endl;
    }
}

float sumSquare(int n, float sigmaXiXbPow[][3])
{
    float sigmaXibPow;

    for (int i=0; i<n; i++)
    {
        sigmaXibPow = sigmaXibPow + sigmaXiXbPow[i][2];
    }

    return sigmaXibPow;
}

void headerProgram()
{
    cout << setfill('=') << setw(42) << "" << setfill(' ') << endl;
    cout << left << setw(42) << "PROGRAM UJI NORMALITAS SHAPIRO-WILK" << endl << endl;
    cout << left << setw(42) << "Dibuat oleh : Havizul" << endl;
    cout << left << setw(42) << "Mata Kuliah : Pemrograman Komputer" << endl;
    cout << setfill('=') << setw(42) << "" << setfill(' ') << endl << endl << endl;
}

float getaValues(int i, int n)
{
    float rt;
    switch (n)
    {
        case 0 ... 14: //Tabel 1A
            rt = tableCofficientA(i, n-1, 0);
            break;
        case 15 ... 26: //Tabel 1B
            rt = tableCofficientB(i, n-15, 0);
            break;
        case 27 ... 38: //Tabel 1C
            rt = tableCofficientC(i, n-27,0);
            break;
        case 39 ... 50: //Tabel 1D
            rt = tableCofficientD(i, n-39, 0);
            break;
    }

    return rt;
}

void tampilTblBantuNb(int n, float tblBnt[][4])
{
    cout << left << setw(5) << "Xi" << setw(11) << "a(i)" << setw(12) << "X(n+1-i)-Xi" << setw(16) << "a(i)*X(n+1-i)-Xi" << endl;

    for (int r=0; r<n; r++)
    {
        cout << left << setw(5) << tblBnt[r][0] << setw(11) << tblBnt[r][1] << setw(12) << tblBnt[r][2] << setw(16) << tblBnt[r][3];
        cout << endl;
    }
}

int main()
{
    headerProgram();

    tabelSW(4,3,1);
    tableCofficientA(3, 2, 1);
	tableCofficientB(4, 7, 1);
    tableCofficientC(3, 9, 1);
    tableCofficientD(4, 7, 1);


    int n = requestJmlData();
    //tentukan nilai alpha
    double alpha = 0;   //cin tidak bisa membaca tipe float.
    while(true)
    {
        cout << "Masukkan nilai alpha (signifikansi) : ";
        cin >> alpha;
        cout << "Nilai alpha yang anda masukkan : " << alpha << endl;

        if (alpha == 4 || alpha == 0.01 || alpha == 0.02 || alpha == 0.05 || alpha == 0.1 || alpha == 0.5 || alpha == 0.9 || alpha == 0.95 || alpha == 0.98 || alpha == 0.99)
        {
            cout << endl;
            cout << "Alpha = " << alpha << endl << endl;

            break;
        }
        else
        {
            cout << "Nilai alpha harus 0.02, 0.05, 0.1, 0.5, 0.9, 0.95, 0.98, atau 0.99." << endl;
        }
    }
	//struct dataRecordDeFloat* dataArr = requestInputData(n); //sumber: https://www.digitalocean.com/community/tutorials/return-array-in-c-plus-plus-function
    float dataRc[n];

    for (int i=0; i<n; i++)
    {
        cout << "Data Ke-" << i+1 << " : ";
        cin >> dataRc[i];
    }

    printf("\nTabel Data Record\n");
    printf("----------------\n");
    printf("Nomor\t Nilai\n");          //untuk menata kolom lebih rapi, gunakan setw()
    printf("----------------\n");

    //Menampilkan data
    tabelDataArr(n, dataRc);

    //Menghitung nilai maksimal dan minimal
    float maxVal = 0;
    float minVal = dataRc[0];
    for (int i=0; i<(sizeof(dataRc)/sizeof(int)); i++)
    {
            if (maxVal < dataRc[i])
            {
                maxVal = dataRc[i];
            }
            else if (minVal > dataRc[i])
            {
                minVal = dataRc[i];
            }
    }

    cout << "\nNilai terbesar : " << maxVal << endl;
    cout << "Nilai terkecil : " << minVal << endl;

    //======================================================================
    //Langkah 1: Urutkan nilai / data
    sort(dataRc, dataRc + (sizeof(dataRc) / sizeof(int)));  //sumber: https://www.geeksforgeeks.org/sort-c-stl/
    printf("\nTabel Data Record Setelah Diurutkan\n");
    printf("----------------\n");
    printf("Nomor\t Nilai\n");          //untuk menata kolom lebih rapi, gunakan setw()
    printf("----------------\n");

    int j = 0;
    tabelDataArr(n, dataRc);

    //======================================================================
    //Langkah 2: Hitung Jumlah Kuadrat (Sum of Squares) SS
    //SS = sigma(i=1, hingga n)(Xi-Xbar)^2

    //Hitung Penjumlahan Seluruh Data (Sigma)
    float sigmaX = 0;
    for (int i=0; i<n; i++)
    {
        sigmaX = sigmaX + dataRc[i];
    }
    cout << "\nSigma X = " << sigmaX << endl;

    float Xbar = sigmaX / n;
    cout << "Xbar = " << Xbar << endl;

    //Buat tabel bantu
    float tabelBantu[n][3];

    cout << "\nTabel Bantu" << endl;
    cout << setfill('-') << setw(52) << "" << setfill(' ') << endl;
    cout << left << setw(5) << " " << setw(11) << "Xi" << " " << setw(22) << "Xi-Xbar" << " " << setw(11) << "(Xi-Xbar)^2" << " " << endl;          //untuk menata kolom lebih rapi, gunakan setw()
    cout << setfill('-') << setw(52) << "" << setfill(' ') << endl;

    for (int r=0; r<n; r++) //baris
    {
        //tabelBantu[r][0] = dataRc[r];
        for (int c=0; c<2; c++)
        {
            if (c==0)   //mengisi kolom Xi
            {
                tabelBantu[r][c] = dataRc[r];
            }
            else if (c==1)  //Mengisi kolom Xi-Xbar
            {

                tabelBantu[r][c] = tabelBantu[r][0] - Xbar;
                tabelBantu[r][c+1] = pow(tabelBantu[r][c], 2);
            }
        }
    }

    tblBantu(n, tabelBantu);
    cout << setfill('-') << setw(52) << "" << setfill(' ') << endl;

    //SS = sigma(i=1, hingga n)(Xi-Xbar)^2
    float SS = sumSquare(n, tabelBantu);
    cout << left << setw(5) << "Xbar" << setw(11) << Xbar << " " << setw(22) << "Sum(Xi-Xbar)^2" << " " << setw(11) << SS << " " << endl;          //untuk menata kolom lebih rapi, gunakan setw()
    cout << setfill('-') << setw(52) << "" << setfill(' ') << endl;

    //======================================================================
    //Langkah 3: Hitung Nilai b
    //b = sigma(i=1 hingga m) ai(X (n+1-i) - Xbi)
    //m=n/2 (jika n GENAP), m=(n+1)/2 (jika n GANJIL)

    //cek n ganjil atau genap, kemudian dapatkan nilai m
    int m;
    if (n%2 == 0)
    {
        m = n/2;
    }
    else
    {
        m = (n+1)/2;
    }
    cout << endl << endl;
    cout << "Nilai m : " << m << endl;

    //Ambil nilai ai dari tabel 1 shapiro wilk
    //tentukan nilai m
    float a[m+1];
    for (int i=0; i<m; i++)
    {
        a[i] = getaValues(i, n);
        cout << "Nilai a(" << i+1 << ")" << ": " << a[i] << endl;
    }

    //tabel bantu untuk mendapatkan nilai b
    float tblBantuNb[n][4];
    for (int i=0; i<n; i++)
    {
        tblBantuNb[i][0] = dataRc[i];
        if (i >= m)
        {
            tblBantuNb[i][1] = 0;
            tblBantuNb[i][2] = 0;
            tblBantuNb[i][3] = 0;
        }
        else if (i < m)
        {
            tblBantuNb[i][1] = a[i];
            tblBantuNb[i][2] =  dataRc[n-(i+1)] - dataRc[i];
            tblBantuNb[i][3] = a[i] * tblBantuNb[i][2];
        }
    }

    cout << endl;
    tampilTblBantuNb(n, tblBantuNb);

    //hitung nilai b;
    float b;
    for (int i=0; i<m; i++)
    {
        b += tblBantuNb[i][3];
    }
    cout << endl;
    cout << "Nilai b = " << b << endl << endl;
    cout << "Nilai n = " << n << endl << endl;
    //Hitung nilai W
    //W = b^2 / SS
    float Wh = pow(b, 2) / SS;
    cout << "Nilai Whitung : " << Wh << endl;

    float Wt;
    cout << "Nilai Wtabel : ";
    if (alpha == 0.01)
    {
        Wt = tabelSW(n-3, 0, 0);
    }
    else if (alpha == 0.02)
    {
        Wt = tabelSW(n-3, 1, 0);
    }
    else if (alpha == 0.05)
    {
        Wt = tabelSW(n-3, 2, 0);
    }
    else if (alpha == 0.1)
    {
        Wt = tabelSW(n-3, 3, 0);
    }
    else if (alpha == 0.5)
    {
        Wt = tabelSW(n-3, 4, 0);
    }
    else if (alpha == 0.9)
    {
        Wt = tabelSW(n-3, 5, 0);
    }
    else if (alpha == 0.95)
    {
        Wt = tabelSW(n-3, 6, 0);
    }
    else if (alpha == 0.98)
    {
        Wt = tabelSW(n-3, 7, 0);
    }
    else if (alpha == 0.99)
    {
        Wt = tabelSW(n-3, 8, 0);
    }
    else
    {
        cout << "Nilai alpha tidak memenuhi kriteria...\n" << "Nilai Wtabel tidak dapat ditampilkan." << endl << endl;
    }

    if (Wt != 0)
    {
        cout << Wt << endl << endl;
    }

    if (Wh > Wt)
    {
        cout << "Kesimpulan : " << endl;
        cout << "Karena Whitung > Wtabel, maka H0 diterima, dan H1 ditolak." << endl << "DATA BERDISTRIBUSI NORMAL";
    }
    else
    {
        cout << "Kesimpulan : " << endl;
        cout << "Karena Whitung <= Wtabel, maka H0 ditolak, dan H1 diterima." << endl << "DATA TIDAK BERDISTRIBUSI NORMAL";
    }

    cout << endl << endl;

	return 0;
}