Question

Describe the process of choosing an appropriate hypothesis test to analyze your data.
Scenarios you describe should include, c2 tests,
Fisher’s exact tests, paired- and unpaired T-tests, one-way and two-way ANOVA,
correlation and linear regression.

Need help! thank you

Answer 1

The chi-squared test is used to compare the distribution of a categorical variable in a sample or a group with the distribution in another one.

• categorical variable
• sample is large
• expected frequency should be >5

The chi-squared test and Fisher's exact test can assess for independence between two variables when the comparing groups are independent and not correlated. The chi-squared test applies an approximation assuming the sample is large, while the Fisher's exact test runs an exact procedure especially for small-sized samples.

Fisher's exact test is one of exact tests. Especially when more than 20% of cells have expected frequencies < 5, we need to use .

• categorical variable
• sample issmall
• more than 20% of cells have expected frequencies < 5,

Paired t test: The paired sample t-test, also called the dependent sample t-test, is a statistical procedure used to determine whether the mean difference between two sets of observations is zero.Two set of observations are before some treatment and after the treatment with same set of objects.Common applications of the paired sample t-test include case-control studies or repeated-measures designs.

• Parent population is normal
• Dependent (observations are taken with same subject with two intevals)
• n1=n2

Independent t test

• Parent population is normal
• indepedent ( two different groups

One way anova

Data classified in one way wither row wise or colum wise. It is to test the significant difference between two or more groups. groups are independent. It is extension of independent t test.

Two way anova

Data classified both rowwise as well as column wise . It is used to test significant different between treatments as well as variety sometimes interactions also

Correlation:To know the degree of relationship between two variable. i.e thehow far the two variable are related.

Regression :To study the average relationship between two variables one is independent variable other is dependent variable