6.4 - \STAT3000 Section 6.3 Using Significance Tests...

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\STAT3000 Section 6.3: Using Significance Tests Significance tests are widely used in reporting the results of research in many fields of applied science and in industry. In all these uses, statistical significance is valued because it points to an effect that is unlikely to occur simply by chance. There is no sharp border between “significant” and “insignificant,” only increasingly strong evidence as the P- value decreases. 144
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Statistical significance is not the same as practical significance. Very small effects can be highly significant, especially when a test is based on a large sample. Lack of significance does not imply that H 0 is true, especially when the test is based on a small sample. TYPE 1==REJECT when null is true Type II ==failed to reject null when alternative true 145
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STAT3000 Section 6.4: Power and Inference as a Decision Conclusions and Consequences Conclusion TRUE State of Nature H 0 True H a True Reject H 0 Type I Error Correct Decision Fail to Reject H 0 Correct
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6.4 - \STAT3000 Section 6.3 Using Significance Tests...

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