Test of Hypothesis for a
Population Variance

This site is a part of the JavaScript E-labs learning objects for decision making. Other JavaScript in this series are categorized under different areas of applications in the MENU section on this page.

Professor Hossein Arsham   

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The following JavaScript tests a claim on variation for a normal population based on a set of random observations.

H₀: Variation is about the claimed value.
H_a: The variation is less than the claimed value; indicating the statistical quality is better than expected.

Enter your up-to-80 sample data, and the claimed population variance, and then click the Calculate button. Blank boxes are not included in the calculations but zeros are.

In entering your data to move from cell to cell in the data-matrix use the Tab key not arrow or enter keys.

To edit your data, including add/change/delete, you do not have to click on the "clear" button, and re-enter your data all over again. You may simply add a number to any blank cell, change a number to another in the same cell, or delete a number from a cell. After editing, then click the "calculate" button.

For extensive edit or to use the JavaScript for a new set of data, then use the "clear" button.

Test of Hypotheses by Confidence Interval: Since the Confidence Intervals (CI) are the duals of tests of hypothesis, one may use CI for testing too. Therefore, as an alternative to direct test of hypothesis, one may use a two-sided or one-sided confidence interval to test a hypothesis with a two-sided or one sided alternative hypothesis, respectively. In this approach if the confidence interval with a desirable confidence level contains the null hypothesis value, then one might not reject the null hypothesis.

Population Variance
Estimated Variance
Chi-square Statistic
The P-Value
CONCLUSION

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For Technical Details, Back to:
Statistical Thinking for Decision Making

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Kindly email your comments to:
Professor Hossein Arsham

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Kindly e-mail me your comments, suggestions, and concerns. Thank you.

Professor Hossein Arsham   

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