STATISTICS FROM A TO Z<br />-- CONFUSING CONCEPTS CLARIFIED
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Statistics Tip of the Week:  How the selection of a value for Alpha specifies the Critical Value

11/29/2018

1 Comment

 
​In Hypothesis Testing, before the data is collected, a value for Alpha, the Level of Significance, is selected. The person performing the test selects the value. Most commonly, 5% is selected. 
Picture
​Alpha is a Cumulative Probability -- the Probability of a range of values. It is shown as a shaded area under the curve of the Distribution of a Test Statistic, such as z.

If we have Distribution of a Test Statistic and a Cumulative Probability at one or both tails of the curve of the Distribution, software or tables will tell us the value of the Test Statistic which forms the boundary of the Cumulative Probability.

In the above concept flow diagram, we show how selecting Alpha = 5% for a one-tailed (right tailed) test results in the Critical Value being 1.645.

I earlier uploaded videos on the statistical concepts mentioned above to my YouTube channel: "Statistics from A to Z -- Confusing Concepts Clarified"
1 Comment
Johan Madrigal
12/3/2018 07:33:58 pm

I would like to receive all information and this articles related to statistics that are very usefull for me.
Thank you so much for your impressive word.

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    Author

    Andrew A. (Andy) Jawlik is the author of the book, Statistics from A to Z -- Confusing Concepts Clarified, published by Wiley.

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  • Home
    • Why This Book Is Needed
    • Articles List, Additional Concepts
    • Examples: 1-Page Summaries
    • Examples: Concept Flow Diagram
    • Examples: Compare and Contrast Tables
    • Examples: Cartoons
    • Example: Which to Use When Article
  • Buy
  • Blog
  • Sample Articles
  • Videos
  • Author
  • Communicate
  • Files
  • Errata