Einfaktorielle ANOVA für wiederholte Messungen - Rechner

Der einfaktorielle-ANOVA-Rechner mit wiederholten Messungen vergleicht die Mittelwerte von drei oder mehr Proben, in denen jedes Subjekt in jeder Probe auftaucht. Geben Sie einfach die Werte für bis zu fünf Proben in die Zellen unten ein und klicken Sie auf die Schaltfläche „Berechnen“. Gruppe 1 Gruppe 2 Gruppe 3 Gruppe 4 Gruppe 5 Berechnen Source SS df MS F P Between Subject Error var div_table = document.getElementById('words_table'); //create function that performs calculations function calc() { //define addition function function add(a, b) { return a + b; } //get raw data for each treament group var values_a_input = document.getElementsByClassName('table_span_a');var values_a_array = []; for (var i = 0; i n); var group_a = values_a_array.map(Number); var values_b_input = document.getElementsByClassName('table_span_b');var values_b_array = []; for (var i = 0; i n); var group_b = values_b_array.map(Number); var values_c_input = document.getElementsByClassName('table_span_c');var values_c_array = []; for (var i = 0; i n); var group_c = values_c_array.map(Number); var values_d_input = document.getElementsByClassName('table_span_d');var values_d_array = []; for (var i = 0; i n); var group_d = values_d_array.map(Number); var values_e_input = document.getElementsByClassName('table_span_e');var values_e_array = []; for (var i = 0; i n); var group_e = values_e_array.map(Number); //find raw data for each subject var person1_input = document.getElementsByClassName('person1');var person1_array = []; for (var i = 0; i n);var person1 = person1_array.map(Number);var sum_person1 = person1.reduce(add, 0); var person2_input = document.getElementsByClassName('person2');var person2_array = []; for (var i = 0; i n);var person2 = person2_array.map(Number);var sum_person2 = person2.reduce(add, 0); var person3_input = document.getElementsByClassName('person3');var person3_array = []; for (var i = 0; i n);var person3 = person3_array.map(Number);var sum_person3 = person3.reduce(add, 0); var person4_input = document.getElementsByClassName('person4');var person4_array = []; for (var i = 0; i n);var person4 = person4_array.map(Number);var sum_person4 = person4.reduce(add, 0); var person5_input = document.getElementsByClassName('person5');var person5_array = []; for (var i = 0; i n);var person5 = person5_array.map(Number);var sum_person5 = person5.reduce(add, 0); var person6_input = document.getElementsByClassName('person6');var person6_array = []; for (var i = 0; i n);var person6 = person6_array.map(Number);var sum_person6 = person6.reduce(add, 0); var person7_input = document.getElementsByClassName('person7');var person7_array = []; for (var i = 0; i n);var person7 = person7_array.map(Number);var sum_person7 = person7.reduce(add, 0); var person8_input = document.getElementsByClassName('person8');var person8_array = []; for (var i = 0; i n);var person8 = person8_array.map(Number);var sum_person8 = person8.reduce(add, 0); var person9_input = document.getElementsByClassName('person9');var person9_array = []; for (var i = 0; i n);var person9 = person9_array.map(Number);var sum_person9 = person9.reduce(add, 0); var person10_input = document.getElementsByClassName('person10');var person10_array = []; for (var i = 0; i n);var person10 = person10_array.map(Number);var sum_person10 = person10.reduce(add, 0); var person11_input = document.getElementsByClassName('person11');var person11_array = []; for (var i = 0; i n);var person11 = person11_array.map(Number);var sum_person11 = person11.reduce(add, 0); var person12_input = document.getElementsByClassName('person12');var person12_array = []; for (var i = 0; i n);var person12 = person12_array.map(Number);var sum_person12 = person12.reduce(add, 0); var person13_input = document.getElementsByClassName('person13');var person13_array = []; for (var i = 0; i n);var person13 = person13_array.map(Number);var sum_person13 = person13.reduce(add, 0); var person14_input = document.getElementsByClassName('person14');var person14_array = []; for (var i = 0; i n);var person14 = person14_array.map(Number);var sum_person14 = person14.reduce(add, 0); var person15_input = document.getElementsByClassName('person15');var person15_array = []; for (var i = 0; i n);var person15 = person15_array.map(Number);var sum_person15 = person15.reduce(add, 0); var person16_input = document.getElementsByClassName('person16');var person16_array = []; for (var i = 0; i n);var person16 = person16_array.map(Number);var sum_person16 = person16.reduce(add, 0); var person17_input = document.getElementsByClassName('person17');var person17_array = []; for (var i = 0; i n);var person17 = person17_array.map(Number);var sum_person17 = person17.reduce(add, 0); var person18_input = document.getElementsByClassName('person18');var person18_array = []; for (var i = 0; i n);var person18 = person18_array.map(Number);var sum_person18 = person18.reduce(add, 0); var person19_input = document.getElementsByClassName('person19');var person19_array = []; for (var i = 0; i n);var person19 = person19_array.map(Number);var sum_person19 = person19.reduce(add, 0); var person20_input = document.getElementsByClassName('person20');var person20_array = []; for (var i = 0; i n);var person20 = person20_array.map(Number);var sum_person20 = person20.reduce(add, 0); var person21_input = document.getElementsByClassName('person21');var person21_array = []; for (var i = 0; i n);var person21 = person21_array.map(Number);var sum_person21 = person21.reduce(add, 0); var person22_input = document.getElementsByClassName('person22');var person22_array = []; for (var i = 0; i n);var person22 = person22_array.map(Number);var sum_person22 = person22.reduce(add, 0); var person23_input = document.getElementsByClassName('person23');var person23_array = []; for (var i = 0; i n);var person23 = person23_array.map(Number);var sum_person23 = person23.reduce(add, 0); var person24_input = document.getElementsByClassName('person24');var person24_array = []; for (var i = 0; i n);var person24 = person24_array.map(Number);var sum_person24 = person24.reduce(add, 0); var person25_input = document.getElementsByClassName('person25');var person25_array = []; for (var i = 0; i n);var person25 = person25_array.map(Number);var sum_person25 = person25.reduce(add, 0); var person26_input = document.getElementsByClassName('person26');var person26_array = []; for (var i = 0; i n);var person26 = person26_array.map(Number);var sum_person26 = person26.reduce(add, 0); var person27_input = document.getElementsByClassName('person3');var person27_array = []; for (var i = 0; i n);var person27 = person27_array.map(Number);var sum_person27 = person27.reduce(add, 0); var person28_input = document.getElementsByClassName('person28');var person28_array = []; for (var i = 0; i n);var person28 = person28_array.map(Number);var sum_person28 = person28.reduce(add, 0); var person29_input = document.getElementsByClassName('person29');var person29_array = []; for (var i = 0; i n);var person29 = person29_array.map(Number);var sum_person29 = person29.reduce(add, 0); var person30_input = document.getElementsByClassName('person30');var person30_array = []; for (var i = 0; i n);var person30 = person30_array.map(Number);var sum_person30 = person30.reduce(add, 0); //find mean of each group if (group_a.length > 0) { var mean_group_a = math.mean(group_a); }; if (group_b.length > 0) { var mean_group_b = math.mean(group_b); }; if (group_c.length > 0) { var mean_group_c = math.mean(group_c); }; if (group_d.length > 0) { var mean_group_d = math.mean(group_d); }; if (group_e.length > 0) { var mean_group_e = math.mean(group_e); }; //find total mean, total count, total variance of all groups var all_groups = group_a.concat(group_b, group_c, group_d, group_e); var mean_all_groups = math.mean(all_groups); var var_all_groups = jStat.variance(all_groups,true); var count_all_groups = all_groups.length; //find sum of each group if (group_a.length > 0) { var sum_group_a = group_a.reduce(add, 0); } else { var sum_group_a = 0;}; if (group_b.length > 0) { var sum_group_b = group_b.reduce(add, 0); } else { var sum_group_b = 0;}; if (group_c.length > 0) { var sum_group_c = group_c.reduce(add, 0); } else { var sum_group_c = 0;}; if (group_d.length > 0) { var sum_group_d = group_d.reduce(add, 0); } else { var sum_group_d = 0;}; if (group_e.length > 0) { var sum_group_e = group_e.reduce(add, 0); } else { var sum_group_e = 0;}; //find total sum var sum_all_groups = [sum_group_a, sum_group_b, sum_group_c, sum_group_d, sum_group_e].reduce(add, 0); //find squared sum of each group if (group_a.length > 0) { var sumSquare_group_a = (group_a.map(function(x) { return Math.pow(x, 2); })).reduce(add,0); } else { var sumSquare_group_a = 0;}; if (group_b.length > 0) { var sumSquare_group_b = (group_b.map(function(x) { return Math.pow(x, 2); })).reduce(add,0); } else { var sumSquare_group_b = 0;}; if (group_c.length > 0) { var sumSquare_group_c = (group_c.map(function(x) { return Math.pow(x, 2); })).reduce(add,0); } else { var sumSquare_group_c = 0;}; if (group_d.length > 0) { var sumSquare_group_d = (group_d.map(function(x) { return Math.pow(x, 2); })).reduce(add,0); } else { var sumSquare_group_d = 0;}; if (group_e.length > 0) { var sumSquare_group_e = (group_e.map(function(x) { return Math.pow(x, 2); })).reduce(add,0); } else { var sumSquare_group_e = 0;}; //find total sum squares var sumSquare_all_groups = [sumSquare_group_a, sumSquare_group_b, sumSquare_group_c, sumSquare_group_d, sumSquare_group_e].reduce(add, 0); //find difference between group means and overall mean if (group_a.length > 0) { var mean_group_a_diff = mean_group_a - mean_all_groups; } else { var mean_group_a_diff = 0;}; if (group_b.length > 0) { var mean_group_b_diff = mean_group_b - mean_all_groups; } else { var mean_group_b_diff = 0;}; if (group_c.length > 0) { var mean_group_c_diff = mean_group_c - mean_all_groups; } else { var mean_group_c_diff = 0;}; if (group_d.length > 0) { var mean_group_d_diff = mean_group_d - mean_all_groups; } else { var mean_group_d_diff = 0;}; if (group_e.length > 0) { var mean_group_e_diff = mean_group_e - mean_all_groups; } else { var mean_group_e_diff = 0;}; //find length of each group if (group_a.length > 0) { var count_group_a = group_a.length; } else { var count_group_a = 0;}; if (group_b.length > 0) { var count_group_b = group_b.length; } else { var count_group_b = 0;}; if (group_c.length > 0) { var count_group_c = group_c.length; } else { var count_group_c = 0;}; if (group_d.length > 0) { var count_group_d = group_d.length; } else { var count_group_d = 0;}; if (group_e.length > 0) { var count_group_e = group_e.length; } else { var count_group_e = 0;}; //find total number of treatments if (group_a.length > 0) { var flag_group_a = 1; } else { var flag_group_a = 0;}; if (group_b.length > 0) { var flag_group_b = 1; } else { var flag_group_b = 0;}; if (group_c.length > 0) { var flag_group_c = 1; } else { var flag_group_c = 0;}; if (group_d.length > 0) { var flag_group_d = 1; } else { var flag_group_d = 0;}; if (group_e.length > 0) { var flag_group_e = 1; } else { var flag_group_e = 0;}; var total_treatments = [flag_group_a, flag_group_b, flag_group_c, flag_group_d, flag_group_e].reduce(add, 0); //find total number of subjects if (person1.length > 0) { var flag_person1 = 1; } else { var flag_person1 = 0;}; if (person2.length > 0) { var flag_person2 = 1; } else { var flag_person2 = 0;}; if (person3.length > 0) { var flag_person3 = 1; } else { var flag_person3 = 0;}; if (person4.length > 0) { var flag_person4 = 1; } else { var flag_person4 = 0;}; if (person5.length > 0) { var flag_person5 = 1; } else { var flag_person5 = 0;}; if (person6.length > 0) { var flag_person6 = 1; } else { var flag_person6 = 0;}; if (person7.length > 0) { var flag_person7 = 1; } else { var flag_person7 = 0;}; if (person8.length > 0) { var flag_person8 = 1; } else { var flag_person8 = 0;}; if (person9.length > 0) { var flag_person9 = 1; } else { var flag_person9 = 0;}; if (person10.length > 0) { var flag_person10 = 1; } else { var flag_person10 = 0;}; if (person11.length > 0) { var flag_person11 = 1; } else { var flag_person11 = 0;}; if (person12.length > 0) { var flag_person12 = 1; } else { var flag_person12 = 0;}; if (person13.length > 0) { var flag_person13 = 1; } else { var flag_person13 = 0;}; if (person14.length > 0) { var flag_person14 = 1; } else { var flag_person14 = 0;}; if (person15.length > 0) { var flag_person15 = 1; } else { var flag_person15 = 0;}; if (person16.length > 0) { var flag_person16 = 1; } else { var flag_person16 = 0;}; if (person17.length > 0) { var flag_person17 = 1; } else { var flag_person17 = 0;}; if (person18.length > 0) { var flag_person18 = 1; } else { var flag_person18 = 0;}; if (person19.length > 0) { var flag_person19 = 1; } else { var flag_person19 = 0;}; if (person20.length > 0) { var flag_person20 = 1; } else { var flag_person20 = 0;}; if (person21.length > 0) { var flag_person21 = 1; } else { var flag_person21 = 0;}; if (person22.length > 0) { var flag_person22 = 1; } else { var flag_person22 = 0;}; if (person23.length > 0) { var flag_person23 = 1; } else { var flag_person23 = 0;}; if (person24.length > 0) { var flag_person24 = 1; } else { var flag_person24 = 0;}; if (person25.length > 0) { var flag_person25 = 1; } else { var flag_person25 = 0;}; if (person26.length > 0) { var flag_person26 = 1; } else { var flag_person26 = 0;}; if (person27.length > 0) { var flag_person27 = 1; } else { var flag_person27 = 0;}; if (person28.length > 0) { var flag_person28 = 1; } else { var flag_person28 = 0;}; if (person29.length > 0) { var flag_person29 = 1; } else { var flag_person29 = 0;}; if (person30.length > 0) { var flag_person30 = 1; } else { var flag_person30 = 0;}; var total_subjects = [flag_person1, flag_person2, flag_person3, flag_person4, flag_person5, flag_person6, flag_person7, flag_person8, flag_person9, flag_person10, flag_person11, flag_person12, flag_person13, flag_person14, flag_person15, flag_person16, flag_person17, flag_person18, flag_person19, flag_person20, flag_person21, flag_person22, flag_person23, flag_person24, flag_person25, flag_person26, flag_person27, flag_person28, flag_person29, flag_person30].reduce(add, 0); //find sum of squares var ss_total = var_all_groups * (count_all_groups - 1); var ss_subject = ((Math.pow(sum_person1,2)+Math.pow(sum_person2,2)+Math.pow(sum_person3,2)+Math.pow(sum_person4,2)+Math.pow(sum_person5,2)+Math.pow(sum_person6,2)+Math.pow(sum_person7,2)+Math.pow(sum_person8,2)+Math.pow(sum_person9,2)+Math.pow(sum_person10,2)+Math.pow(sum_person11,2)+Math.pow(sum_person12,2)+Math.pow(sum_person13,2)+Math.pow(sum_person14,2)+Math.pow(sum_person15,2)+Math.pow(sum_person16,2)+Math.pow(sum_person17,2)+Math.pow(sum_person18,2)+Math.pow(sum_person19,2)+Math.pow(sum_person20,2)+Math.pow(sum_person21,2)+Math.pow(sum_person22,2)+Math.pow(sum_person23,2)+Math.pow(sum_person24,2)+Math.pow(sum_person25,2)+Math.pow(sum_person26,2)+Math.pow(sum_person27,2)+Math.pow(sum_person28,2)+Math.pow(sum_person29,2)+Math.pow(sum_person30,2)) / total_treatments) - ((Math.pow(sum_all_groups, 2)) / count_all_groups) var ss_between = ((Math.pow(sum_group_a,2)+Math.pow(sum_group_b,2)+Math.pow(sum_group_c,2)+Math.pow(sum_group_d,2)+Math.pow(sum_group_e,2)) / total_subjects)- ((Math.pow(sum_all_groups, 2)) / count_all_groups) var ss_residual = ss_total - ss_subject - ss_between; //find degrees of freedom df_total = count_all_groups - 1; df_between = total_treatments - 1; df_subject = total_subjects - 1; df_residual = df_total - df_between - df_subject; //find mean sum of squares var ms_between = ss_between / df_between; var ms_subject = ss_subject / df_subject; var ms_residual = ss_residual / df_residual; //find f value and p value var f = ms_between / ms_residual; var p = 1 - jStat.centralF.cdf(f, df_between, df_residual); //--------------OUTPUT RESULTS-----------// document.getElementById('ss_between').innerHTML = ss_between.toFixed(1); document.getElementById('ss_subject').innerHTML = ss_subject.toFixed(1); document.getElementById('ss_residual').innerHTML = ss_residual.toFixed(1); document.getElementById('df_between').innerHTML = df_between.toFixed(0); document.getElementById('df_subject').innerHTML = df_subject.toFixed(0); document.getElementById('df_residual').innerHTML = df_residual.toFixed(0); document.getElementById('ms_between').innerHTML = ms_between.toFixed(1); document.getElementById('ms_subject').innerHTML = ms_subject.toFixed(1); document.getElementById('ms_residual').innerHTML = ms_residual.toFixed(1); document.getElementById('f').innerHTML = f.toFixed(3); document.getElementById('p').innerHTML = p.toFixed(5); }

Gruppe 1	Gruppe 2	Gruppe 3	Gruppe 4	Gruppe 5

Einfaktorielle ANOVA für wiederholte Messungen - Rechner

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