Hypothesis Testing Flashcards
Variable?
1 variable
2 variables
1 variable?
Normal distribution:
•One dataset - one sample t-test
•Two related datasets - paired sample t-test
•Two independent datasets - independent sample t-test
Discrete distribution:
•Two related datasets - Wilcoxon test
•Two independent datasets - Mann Whitney U test
2 variables?
Continuous
•Linear regression
Categorical
•Chi-square test
Test H0?
One sample- u(mu) = mean
Paired sample- u(mu) = 0
Independent sample- u1(mu)=u2(mu)
•F test- V1=V2
Wilcoxon- sum of R+= sum of R-
Mann Whitney- U1=U2
Linear regression- B=0
Chi square- O=E
Risk analysis?
p<alpha - reject H0
Reject H0 - Risk of Type I error(rejecting a good H0)
p>alpha - accept H0 Accept H0 - Risk of Type II error
When to use Fischers test?
E>1
80% of test E>5
Non Parametric test for one sample?
Wald wolfowitz
Non parametric test for one, related and independent samples?
One- Sign test
Related- Friedman test
Independent- Kruskal-Wallis
Idea of hypothesis testing?
Check plausibility of hypothesis by testing the sample data, basically checking likelihood of a parameter of population testing.
Power of test?
Probability of reject H0 at certain alpha
Type of test for normal distribution?
Parametric tests
Difference between Mann Whitney U and Independent?
In Mann Whitney only the ranking process is required
When to use Welch test?
When V1 not equal to V2 like for F test
Test for two continuous variables?
Pearson correlation coefficient tells us closeness of relationship unlike spearman’s rank correlation
Test for two categorical variables?
Chi-square
