Accuracy when inferential statistics are used as measurement tools
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Dogfennau
- 2016 Accuracy
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Background: Inferential statistical tests that approximate measurement are called acceptance procedures. The
procedure includes type 1 error, falsely rejecting the null hypothesis, and type 2 error, failing to reject the null hypothesis
when the alternative should be supported. This approach involves repeated sampling from a distribution with
established parameters such that the probabilities of these errors can be ascertained. With low error probabilities the
procedure has the potential to approximate measurement. How close this procedure approximates measurement
was examined.
Findings: A Monte Carlo procedure set the type 1 error at p = 0.05 and the type 2 error at either p = 0.20 or p = 0.10
for effect size values of d = 0.2, 0.5, and 0.8. The resultant values are approximately 15 and 6.25 % larger than the
effect sizes entered into the analysis depending on a type 2 error rate of p < 0.20, or p < 0.10 respectively.
Conclusions: Acceptance procedures approximate values wherein a decision could be made. In a health district a
deviation at a particular level could signal a change in health. The approximations could be reasonable in some circumstances,
but if more accurate measures are desired a deviation could be reduced by the percentage appropriate
for the power. The tradeoff for such a procedure is an increase in type 1 error rate and a decrease in type 2 errors
Iaith wreiddiol | Saesneg |
---|---|
Rhif yr erthygl | 241 |
Tudalennau (o-i) | 487-489 |
Nifer y tudalennau | 3 |
Cyfnodolyn | BMC Research Notes |
Cyfrol | 9 |
Statws | Cyhoeddwyd - 26 Ebr 2016 |
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