STATISTICS FOR DATA ANALYTICS - 18
T-test - numerical - 1
Conditions :-
Standard deviation is not given
Sample less than 30.
Degree of freedom = n-1 { n = sample size }
Whether the Groups being compared come from a single population or two different populations.
Different type of t-test
One-sample mean test
Paired Two- Sample Mean Test
Unpaired Two-Sample Mean Test
Two-Sample Proportion Test
A/B Testing
T - test : one sample Mean Test :-
We perform a one sample Mean Test when we want to compare a sample mean with population mean.
Step 1 :-
T-calculated =
sample mean - population mean / sample std deviation / under root of sample size.
Step 2 :-
Degree of freedom
N -1
Step 3 :-
T-Critical
If significance value is 0.05
With the value of significance and the degree of freedom we can get the T -score.
Step 4 :-
Comparing T- calculated and T - critical
If T-calculated is less than T-critical then we fail to reject the null hypothesis.
Two sample Mean Test :-
Types :-
Paired.
unpaired.
T - test : Paired Two sample Mean Test :-
Paired :- Only evaluating single dataset
Eg :- New medicine test :-
Test 1 - sample population without any medicine
Test 2 - same sample population with medicine.
Step 1 :-
Create null and alternate hypothesis
Null hypothesis = no effect.
Alternate hypothesis = before is not equal to after.
Step 2 :-
Find the t value
For comparison we need critical value for this we need a degree of freedom (n-1).
T stat < T critical for two-tail ( acceptance region )
Excel has its own formula for this which you have learned in the excel course.
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