Tests of significance

Question 1

Tests for significance(Z test,t test,Anova test)

Criteria for applying Z and t test

Answer 1

For large samples(value>30) ____Z test
For small samples(value<30)____t test
Criteria for applying
1. Sample should be selected Randomly(simple random sample)
2. Homogeneity of variance in two samples
3. Variable should be normally distributed and data should be quantitative(for t test)

Question 2

Student t test. Vs. Paired t test

Answer 2

Student t test compares two groups
Paired t test same individual or group is compare for continous variable before and after treatment. Eg. BP testing before and after treatment

Question 3

Homogeneity of variance is tested by

Answer 3

Using “F test”

Question 4

Anova test

Answer 4

Used for comparison of means of several groups.

More than two groups

Question 5

Assumption of Anova test

Answer 5

Individuals in various groups should be selected by Random Sampling.
Variables under study group should follow Normal Distribution.
Variables ofthe group should be Homogenous(tested by variance ratio test)
Samples comprising the group should be independent