Regression Analysis equations

Standard Error formula

👆 Degrees of Freedom Formula

Variance formula

Standard Error of the Sample mean differences formula

Z-score of the Sample mean differences formula

Statistical Hypothesis Testing

t-Test Formula for testing of the difference of mean of 2 uncorrelated (Independent) Sample means.

The Mann-Whitney U-Test Formula

Non-Parametric Tests:

A) In Case of Independent Samples:-
1) Chi-Square test
2) The Median test
3) The Mann-Whitney U-Test

B) In case of Dependant Samples:-
1) Sign Test :- one sample & Paired sample
2) Wilcoxon's Signed-Rank Test: - One sample & two sample (paired sample)

👆ANOVA (Analysis of Variance) Formula

t-Test formula for difference between the means of 2 Dependent Samples

Another formula of t-Test in finding level of Significance

Standard Error of Mean (Problem-1) with Solution

Standard error of mean (Problem -2 with Solution)

Mann - Whitney U - test (Problem - 1 with Solution).
We have to assign lowest rank (Rank 1) to lowest value and highest rank to highest value.

ANOVA (Analysis of Variance) - Statistics with Problem Solving

Chi-Square (Problem 1 with Solution)
The value of Expected Frequency E = RC / N where
R = sum of Rows of Groups
C = sum of Columns of Groups
N = Total no. of Groups