T-Tests Flashcards
Used to determine if your sample is different from a specified population; most commonly applied when the test statistic would follow a normal distribution
T-test
t = X-μ/SE df = N-1
One sample t test
X is the average
The t-distribution is a ______ of ______, which are mound shaped and symmetrical like the standard ________ distribution. However, the t-distribution changes shape has a function of the *______ _______; the “tails” become thicker as ____ decreases
family of curves
normal
sample size
N
The ___________ t-test is used when two separate sets of separate but identically distributed samples are obtained, one from each of the two populations being compared.
independent (or two-sample)
True or False
This is an example of an independent t-test; suppose we are evaluating the effect of a medical treatment, and we enroll 100 subjects into our study, then randomly assign 50 subjects to the treatment group and 50 subjects to the control group.
True
Because the t-test has fatter tails, it will have greater _________, and requires a greater ________ in order to be significant
probability
difference
This t-test can answer the question of how does a sample we take, compare with a known norm; for example; does our sample (dental class average age) compare to the known value of average national dental school age
one-sample t-test
______ ______ (or _______) t-tests typically consist of a sample of matched pairs of similar units, or one group of units that has been tested twice (a “repeated measures” t-test); for example; a blood pressure measurement before and after something
paired sample (or dependent)
Assumptions/Requirements for the t-test; require the dependent value to be _________ (interval/ratio measurement scales), the samples are derived from ________ distributions, the samples are derived from populations with roughly equal ________, (will have equal STDs) the groups are ______ (samples not measured twice); can nominal or _______
continuous normal variances independent ordinal
Use t-distribution when the sample size is _____
small
_______ analysis should ideally be done prior to data collection when estimating the sample size
prospective
________ analysis may be done adter the experiment
retrospective