Bonferroni Correction | Post-Hoc Followup test | Multiple Contrasts or Comparisons | PSN Academy

Planned Contrasts: These are tests for hypotheses that were posed before conducting hypothesis test. Post hoc Contrasts: These are tests for hypotheses that did not appear in the original analysis plan. These are hypotheses posed after data collection and analysis. Step 1: Perform test (e.g. ANOVA). Step 2: If Null hypothesis is rejected, define Null hypothesis for Follow-up tests. Step 3: Peform test. Step 4: Conduct Bonferroni correction to the overall significance level. Step 5: Decide on Null hypothesis. The Bonferroni correction (aka, Bonferroni adjustment, Bonferroni test, Bonferroni method) is a way to control Error Rate Familywise when follow-up test count increases. An increase in follow-up test count increases the probability of Type I error. This correction minimizes this probability. ANOVA is a tester of Null Hypothesis. ANOVA stands for Analysis Of Variance used for studying cause-and-effect of one or more factors on a single dependent variable. The independent variables MUST BE of nominal scale (categorical) and the dependent variable MUST BE metric (continuous). Step 1: Setup Null hypothesis. Step 2: Calculate the Variation_Between and Variation_Within of the samples. Step 3: Calculate the degrees of freedom. Step 4: Calculate the Variance_Between and Variance_Within of the samples. Step 5: Calculate the F-Score of the given data. Step 6: Consult the F-table and take decision regarding Null hypothesis. ---------------------------------------- Chapters: 00:00 What is ANOVA? 01:39 What is the limitation of ANOVA? 02:19 What are the steps for Post-hoc test? 05:16 When the Null hypothesis is rejected after ANOVA? 06:14 What are Follow-up tests? 07:39 What is F Ratio? 08:28 What is a Contrast or Comparison? 09:31 What are the constraints of Contrast? 13:12 How to calculate Contrast or Comparison? 16:19 How to calculate Contrast or Comparison Sum of Squares? 19:00 How to calculate F Ratio? 19:39 What is Bonferroni correction? 20:21 Why is Bonferroni approach required? #bonferroni #comparison #contrast #fratio #anova #anovatest #nullhypothesis #variation #variance #variancebetween #variancewithin #psnacademy