Explain in details that how do you evaluate if your data are a good fit for the assumptions of those statistical tests like T test ,Paired t test,one way and two way anova,Chisquare,regression?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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Explain in details that how do you evaluate if your data are a good fit for the assumptions of those statistical tests like T test ,Paired t test,one way and two way anova,Chisquare,regression?

 

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When the given data has one sample or two independent sample data, with unknown population standard deviation with low sample size (less than 30) where hypothesis test is conducted to verify the sample mean then we will perform the t test if these following conditions are met
The assumptions for T test are 
1. The dependent variable should be interval or ratio
2. There should be no relationship between the observations and the data is independent.
3. There should be no significant outliers.
4. The dependent variable should be approximately normally distributed.

When the given data has two sample data where we are interested in mean difference between two variables for same subject like for example before and after some treatment we use paired t test.
The assumptions for paired T test are
1. The dependent variable should be interval or ratio.
2. The observations are independent of each other.
3.There should be no significant outliers.
4. The dependent variable should be approximately normally distributed.

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