Chi-quadrat-test des unabhängigkeitsrechners
Ein Chi-Quadrat-Unabhängigkeitstest wird verwendet, um zu bestimmen, ob zwischen zwei kategorialen Variablen ein signifikanter Zusammenhang besteht oder nicht.
Um einen Chi-Quadrat-Unabhängigkeitstest durchzuführen, füllen Sie einfach die folgenden Zellen aus, um eine Kontingenztabelle mit bis zu 5 Zeilen und 5 Spalten zu erhalten. Wenn Ihre Tabelle kleiner als 5×5 ist, lassen Sie die anderen Zellen einfach leer.
Gruppe 1 | Gruppe 2 | Gruppe 3 | Gruppe 4 | Gruppe 5 | |
---|---|---|---|---|---|
Kategorie 1 | |||||
Kategorie 2 | |||||
Kategorie 3 | |||||
Kategorie 4 | |||||
Kategorie 5 |
Teststatistik x 2 : 0,864035
p-Wert: 0,649198
function calc() {
//get input data var o11 = document.getElementById('o11').value; var o12 = document.getElementById('o12').value; var o13 = document.getElementById('o13').value; var o14 = document.getElementById('o14').value; var o15 = document.getElementById('o15').value; var o21 = document.getElementById('o21').value; var o22 = document.getElementById('o22').value; var o23 = document.getElementById('o23').value; var o24 = document.getElementById('o24').value; var o25 = document.getElementById('o25').value; var o31 = document.getElementById('o31').value; var o32 = document.getElementById('o32').value; var o33 = document.getElementById('o33').value; var o34 = document.getElementById('o34').value; var o35 = document.getElementById('o35').value; var o41 = document.getElementById('o41').value; var o42 = document.getElementById('o42').value; var o43 = document.getElementById('o43').value; var o44 = document.getElementById('o44').value; var o45 = document.getElementById('o45').value; var o51 = document.getElementById('o51').value; var o52 = document.getElementById('o52').value; var o53 = document.getElementById('o53').value; var o54 = document.getElementById('o54').value; var o55 = document.getElementById('o55').value;
var cols = [o11, o12, o13, o14, o15]; var colCount = cols.filter(String).length; var rows = [o11, o21, o31, o41, o51]; var rowCount = rows.filter(String).length; var df = (colCount-1)*(rowCount-1);
var col1 = [o11, o21, o31, o41, o51]; var col2 = [o12, o22, o32, o42, o52]; var col3 = [o13, o23, o33, o43, o53]; var col4 = [o14, o24, o34, o44, o54]; var col5 = [o15, o25, o35, o45, o55];
var row1 = [o11, o12, o13, o14, o15]; var row2 = [o21, o22, o23, o24, o25]; var row3 = [o31, o32, o33, o34, o35]; var row4 = [o41, o42, o43, o44, o45]; var row5 = [o51, o52, o53, o54, o55];
var col1sum = math.sum(col1); var col2sum = math.sum(col2); var col3sum = math.sum(col3); var col4sum = math.sum(col4); var col5sum = math.sum(col5);
var row1sum = math.sum(row1); var row2sum = math.sum(row2); var row3sum = math.sum(row3); var row4sum = math.sum(row4); var row5sum = math.sum(row5);
var n = math.sum(row1sum, row2sum, row3sum, row4sum, row5sum);
//do calculations var diff11 = 0; if (o11) { o11 = +o11; var e11 = row1sum*col1sum/n; diff11 = Math.pow(o11-e11,2) / e11; } var diff12 = 0; if (o12) { o12 = +o12; var e12 = row1sum*col2sum/n; diff12 = Math.pow(o12-e12,2) / e12; } var diff13 = 0; if (o13) { o13 = +o13; var e13 = row1sum*col3sum/n; diff13 = Math.pow(o13-e13,2) / e13; } var diff14 = 0; if (o14) { o14 = +o14; var e14 = row1sum*col4sum/n; diff14 = Math.pow(o14-e14,2) / e14; } var diff15 = 0; if (o15) { o15 = +o15; var e15 = row1sum*col5sum/n; diff15 = Math.pow(o15-e15,2) / e15; } var diff21 = 0; if (o21) { o21 = +o21; var e21 = row2sum*col1sum/n; diff21 = Math.pow(o21-e21,2) / e21; } var diff22 = 0; if (o22) { o22 = +o22; var e22 = row2sum*col2sum/n; diff22 = Math.pow(o22-e22,2) / e22; } var diff23 = 0; if (o23) { o23 = +o23; var e23 = row2sum*col3sum/n; diff23 = Math.pow(o23-e23,2) / e23; } var diff24 = 0; if (o24) { o24 = +o24; var e24 = row2sum*col4sum/n; diff24 = Math.pow(o24-e24,2) / e24; } var diff25 = 0; if (o25) { o25 = +o25; var e25 = row2sum*col5sum/n; diff25 = Math.pow(o25-e25,2) / e25; } var diff31 = 0; if (o31) { o31 = +o31; var e31 = row3sum*col1sum/n; diff31 = Math.pow(o31-e31,2) / e31; } var diff32 = 0; if (o32) { o32 = +o32; var e32 = row3sum*col2sum/n; diff32 = Math.pow(o32-e32,2) / e32; } var diff33 = 0; if (o33) { o33 = +o33; var e33 = row3sum*col3sum/n; diff33 = Math.pow(o33-e33,2) / e33; } var diff34 = 0; if (o34) { o34 = +o34; var e34 = row3sum*col4sum/n; diff34 = Math.pow(o34-e34,2) / e34; } var diff35 = 0; if (o35) { o35 = +o35; var e35 = row3sum*col5sum/n; diff35 = Math.pow(o35-e35,2) / e35; } var diff41 = 0; if (o41) { o41 = +o41; var e41 = row4sum*col1sum/n; diff41 = Math.pow(o41-e41,2) / e41; } var diff42 = 0; if (o42) { o42 = +o42; var e42 = row4sum*col2sum/n; diff42 = Math.pow(o42-e42,2) / e42; } var diff43 = 0; if (o43) { o43 = +o43; var e43 = row4sum*col3sum/n; diff43 = Math.pow(o43-e43,2) / e43; } var diff44 = 0; if (o44) { o44 = +o44; var e44 = row4sum*col4sum/n; diff44 = Math.pow(o44-e44,2) / e44; } var diff45 = 0; if (o45) { o45 = +o45; var e45 = row4sum*col5sum/n; diff45 = Math.pow(o45-e45,2) / e45; } var diff51 = 0; if (o51) { o51 = +o51; var e51 = row5sum*col1sum/n; diff51 = Math.pow(o51-e51,2) / e51; } var diff52 = 0; if (o52) { o52 = +o52; var e52 = row5sum*col2sum/n; diff52 = Math.pow(o52-e52,2) / e52; } var diff53 = 0; if (o53) { o53 = +o53; var e53 = row5sum*col3sum/n; diff53 = Math.pow(o53-e53,2) / e53; } var diff54 = 0; if (o54) { o54 = +o54; var e54 = row5sum*col4sum/n; diff54 = Math.pow(o54-e54,2) / e54; } var diff55 = 0; if (o55) { o55 = +o55; var e55 = row5sum*col5sum/n; diff55 = Math.pow(o55-e55,2) / e55; } console.log(o31, o32, o33, e31, e32, e33, diff31, diff32, diff33); var errors = [diff11, diff12, diff13, diff14, diff15, diff21, diff22, diff23, diff24, diff25, diff31, diff32, diff33, diff34, diff35, diff41, diff42, diff43, diff44, diff45, diff51, diff52, diff53, diff54, diff55]; var X2 = math.sum(errors); var p = 1-jStat.chisquare.cdf(X2, df);
//output results document.getElementById('X2').innerHTML = X2.toFixed(6); document.getElementById('p').innerHTML = p.toFixed(6);
} //end calc function