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Flashcards on statistical tests
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Null Hypothesis (H0)
Treatment B is no more effective than treatment A for this condition.
Alternative Hypothesis (HA)
Treatment B is more effective than treatment A for this condition.
Null Hypothesis
Fundamental world view of statistical tests is as follows: “Nothing is different – any observed differences are just random error.”
Statistical Tests
Report on the probability of the null hypothesis being true.
Standard Error of the Mean (SEM)
Calculated by: SD / sqrt(n)
95% Confidence Interval (CI) Overlap
If the 95% CIs of two groups means overlap then we can say Statistically that there is no difference between the groups
Alpha (α)
Also known as the level of significance; represents the probability of obtaining results due to chance (conventionally 0.05); also represents the chance of making a Type I Error.
Type I Error
The chance that you reject the null hypothesis when in reality you should fail to reject the null hypothesis. In other words, your sample data indicates that there is a difference when in reality, there is not (false positive).
95% Confidence Interval (CI)
The range within which we are 95% certain that the true population treatment effect will lie.
Statistical Significance
If the CI for a mean difference does not include 0, then a statistically significant difference between the groups has been shown.
P-value
The probability that the observed difference between 2 groups might have occurred by chance.
Statistical Significance (p < 0.05)
The observed difference between the groups is so unlikely to have occurred by chance that we reject the null hypothesis and accept the alternative hypothesis that there is a real difference between the treatment groups.
Minimal Clinically Important Difference (MCID)
Smallest amount thought to be worthwhile – for the client.
Minimal Detectable Change (MDC)
A statistical estimate of the smallest amount of change that can be detected by a measure that corresponds to a noticeable change in ability.
Generalisability
Clients similar? – are they like the people I treat? Treatment applied appropriately? – can / would I do that? Outcome useful? – is it what the client wants? Effect size meaningful? – worth the time, money, risk?