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Guide to Hypothesis Tests

Hypothesis Testing


Hypothesis Testing - it is the process of using statistical tests to determine if the observed differences between two or more samples is statistically significant or not. A null hypothesis (Ho) is a stated assumption that there is no difference or the difference is due to a random chance while the alternate hypothesis (Ha) is a statement that there is a true difference. With the help of hypothesis testing, we arrive at one of the following conclusions.

1. Fail to reject the Null hypothesis (accept the Null hypothesis)
2. Reject the Null hypothesis (accept the Alternate hypothesis)

From a practical point of view, hypothesis testing allows to collect sample sizes and make decisions based on facts and it takes away the decisions based on gut feeling or experience or common sense. You have statistical proof of whatever you "feel" or "think" is right.




An application-oriented question on the topic along with responses can be seen below. The best answer was provided by     
Mohamed Asif and Sreyash Sangam. 


Applause for all the respondents- Mohamed Asif and Sreyash Sangam



Q. 163  Suggest an improvement/ enhancement in the guide to selection of Hypothesis Tests provided here - https://www.benchmarksixsigma.com/guide-to-right-hypothesis-test/


Note for website visitors - Two questions are asked every week on this platform. One on Tuesday and the other on Friday.


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3 answers to this question

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Thanks for creating this guide. It gives us direction to find the appropriate test to be performed.

Enhancement that I would like to recommend is

a) To include what the referred test compares, and

b) To include navigation path (Mostly we use Minitab for the analysis) 


For Instance, for the criteria: Dependent variable being Continuous and Independent variable being Discrete, more than 2 categories, with sample size less than 10.

The Result could be:

Hypothesis Test to use Kruskal Wallis or Mood's Median Test
Basis the information provided, it is the best suited hypothesis test

This test compares medians of Multiple Groups. 

Minitab Navigation: Stat > Nonparametric > Kruskal-Wallis..

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The guide to Hypothesis test can be improved in following manner:


1). Clear examples to demonstrate for the newbies.

2). Use the case studies for different sectors for carrying out Hypothesis test

3). Structure the framework in reverse manner so that understanding can be more clear


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On 5/28/2019 at 3:00 PM, Vishwadeep Khatri said:

Each valid suggestion will be considered a winner. 

Thank you Mohamed Asif and Sreyash for your suggestions. We value your inputs and will consider incorporating into the guide for selecting appropriate Hypothesis Test/s.

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