Critical Thinking - Lecture Twenty-Four Flashcards
Chance II covers p-values
What are p-values?
P-values are the probability of getting study estimates )or a study estimate further from the null), when there is really no association, because of sampling error (chance)
What logic do p-values use?
The logic of hypothesis testing
What are the ‘two players’ involved in the association vs no association table?
The null hypothesis and the alternative hypothesis
The null hypothesis (Ho)
Really no association in the population. Parameter equals null value
The alternative hypothesis (Ha)
Really is an association in the population. Parameter does not equal null value.
Ratio measures and difference measures of Ho
Ratio measures (RR, OR) = 1 Difference measures (RD) = 0
Ratio measures and difference measures of Ha
Ratio measures (RR, OR) ≠ 1 Difference measures (RD) ≠ 0
Threshold for statistical significance
5% (0.05)
When p < 0.05
We reject Ho and accept Ha; association is ‘statistically significant’
When p > 0.05
We fail to reject Ho and reject Ha; association is ‘not statistically significant’
Fundamental concept 4
Probability of getting study estimate (or an estimate further from the null) when there is really no association because of sampling error (chance)
Type-II errors
Incorrectly fail to reject Ho when should have (p should have been < 0.05 but got > 0.05)
Why do type-II errors typically occur?
Few people in the study
P-values and 95% confidence intervals
You can see whether a p-value is greater or less than 0.05 with a 95% confidence interval
Why are p-values problematic?
Arbitrary threshold, only about Ho and nothing about importance
Arbitrary threshold
Threshold is arbitrary and artificial
Only about Ho
Just give evidence about consistency with the null hypothesis and doesn’t say anything about precision (best presented with confidence intervals)
Nothing about importance
Statistical significance is not clinical significance and doesn’t say anything about whether the results are valid, useful or correct
The absence of a statistically significant association is not evidence of absence of a real association