# Category: Mathematics

## Chi – Square

Chi – Square Chi- Square is an important non-parametric test and as such now rigid assumptions are necessary is respect of the type of population we require only the degree of freedom for using this test. Non- parametric chi-square test can be used As a test of goodness of fit As a test of independence This …

## Hypothesis Testing [Procedure]

PROCEDURE FOR HYPOTHESIS TESTING To test a hypothesis means to tell (on the basis of the data the researcher has collected) whether or not the hypothesis seems to be valid. In hypothesis testing the main question is: whether to accept the null hypothesis or not to accept the null hypothesis? Procedure for hypothesis testing refers to …

## Classical Linear Regression Model [CLRM/CNLRM]

CNLRM (Classical Normal Linear Regression Model) Assumption 1: Linear regression model: The regression model is linear in the parameters, as shown as Yi = β1 + β2Xi + ui   Assumption 2: X values are fixed in repeated sampling. Values taken by the regressor X are considered fixed in repeated samples. More technically, X is assumed …

## Integration By Parts

Integration By Parts

## Integration by Substitution

Integration by Substitution

Integrate w.r.t