HLT-362V-Applied Statistics for Health Care Professionals Quiz 2.

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Applied Statistics Quiz 2

Math Statistics Hypothesis Testing

Terms in this set (8)

What research decisions

influence the magnitude of

Type I error?

The nominal alpha level sets the limit on the

magnitude of risk of Type I error. The risk of

committing the error is the alpha level.

Example: alpha level = .05, the risk of committing

error is 5%.

How are risk of Type II error

and statistical power related?

Risk of Type II error is beta and statistical power is

(1-beta). So, as risk of Type II error increases,

statistical power decreases.

Other factors being equal,

which type of significance test

requires the value of t that is

larger (in absolute value) in

order to reject HO: a

directional or non-directional

test?

A non-directional test or two-tailed test requires a

value of t that is larger in absolute value to reject

HO compared to a directional test.

What is a null hypothesis? What

is an alternative hypothesis?

A null hypothesis states one specific value for the

unknown population mean m. An alternative or

research hypothesis states a range of

outcomes/values for the population mean m. Also,

Applied Statistics Quiz 2 the alternative can be directional or non-directional.

What is an alpha level? What

determines the value of alpha?

Alpha level is a theoretical risk of Type I error that is

chose by the researcher prior to looking at the

results of a study. Usually it corresponds to

conventional standards for level of acceptable risk.

What is an "exact" p-value?

It is the level of marginal significance within a

statistical hypothesis test. It is used as an alternative

to rejection points to provide the smallest level of

significance at which the null hypothesis would be

rejected.

What is statistical power? What

information is needed to

decide what sample size is

required to obtain some

desired level of power (such as

80%)?

Statistical power is the likelihood that a study will

detect an effect when there is an effect to be

detected. The information needed to evaluate

statistical power is: alpha level and population

effect size. Using these values, a statistical power

table can be used to find out how sample size

corresponds to power and that can be used to

decide what minimum N should be necessary for a

level of power such as .80.

EXTRA CREDIT: When a

research reports a "p" value, p

stands for "probability" or risk.

a. What probability does this p

refer to?

b. Do we typically want p to be

large or small?

What is the conventional

standard for an "acceptably

small" p-value?

a. The theoretical risk of committing a Type I error.

b. We typically prefer p, the risk of Type I error, to

be small (usually smaller than .05)

c. The usual conventional standard is p < .05 (or

sometimes p < .01 or .001)