Chi Square Test & Principles of Correlation and Regression Analysis

Flashcards covering key concepts related to Chi Square Tests, Hypothesis Testing, and Correlation and Regression Analysis in statistics.

Chi Square Test

A statistical test used to compare 2 or more proportions or to describe the relationship between qualitative variables.

Hypothesis Testing

The process of determining if there is a significant difference between true values in the population based on sample data.

Degrees of Freedom

Calculated as (#rows - 1) x (#columns - 1) used in statistical tests like Chi Square.

T-test

A statistical test used to compare the means of two groups when sample size is small (n<30).

Z-test

A statistical test used to compare means when the sample size is large (n>30).

Null Hypothesis (H0)

The hypothesis that there is no effect or no difference, used as a default position in hypothesis testing.

Alternative Hypothesis (Ha)

The hypothesis that assumes a significant effect or difference exists in a population.

Chi Square Test of Homogeneity

A test used to determine if two or more populations have the same proportions for different categories.

Expected Frequency

The number of observations expected in a category if the null hypothesis is true.

Pearson's Correlation Coefficient (r)

A measure of the strength and direction of association between two continuous variables.

Regression Analysis

A statistical method for examining the relationship between dependent and independent variables.

Coefficient of Determination (R²)

A measure that explains the proportion of variance in the dependent variable that can be attributed to the independent variable.