# Category: Mathematics

## F – Test

F-Test F- test is generally known as the arcane ratio test and it is used mostly in  context of analysis of variance. This technique was developed by Prof.Fisher. Prof. Fisher developed this test on the basis of agricultural experiment. For test of hypothesis of equality among several sample means. The F-test is considered to be more …

## 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