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Frequentist Hypothesis Testing
biostats
13
Mathematics
Graduate
01/25/2018

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Term
statistical null hypothesis
Definition
specific claim about a population parameter, usually assumes the negative or skeptical point of view (there is no change, unrelated)
Term
alternative hypothesis
Definition
represents all other possible parameters except the one the null is stating
Term
parameter
Definition
measurable factor that defines or helps define a population
Term
estimate
Definition
inference about a population parameter from sample data
Term
test statistic
Definition
specific number or quantity calculated from the data that is used to compare the data gathered to the expected values based on the null
Term
sampling distribution
Definition
calculated from the estimate, it is the distribution of a sampling statistic (e.g. mean) if calculated from many different samples many times
Term
the null distribution
Definition
is the sampling distribution of outcomes for a test statistic that assumes that the null hypothesis is true
Term
p-value
Definition
probability of obtaining data under the null hypothesis
Term
significance level
Definition
threshold for accepting or rejecting the null based on the p-value (usually .05) if it is below .05, you reject the null
Term
type 1 error
Definition
mistakenly rejecting a true null hypothesis. The significance level is the probability of a type 1 error (.05 means 1 in 20 chance, which is acceptable)
Term
type 2 error
Definition
fail to reject a false null, study with a low probability of type 2 error is said to have a high power.
Term
power
Definition
probability that a random sample will lead to rejection of a false null hypothesis
Term
In what order do you list these definitions?
Definition
1.null hypothesis 2. alternative hypothesis
3. parameter 4. estimate 5. test statistic
6. sampling distribution 7. null distribution
8. p-value 9. significance level
10. type 1 error 11. type 2 error 12. power
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