T-TEST Flashcards
Developed t-Test around 1905, for dealing with small
samples in brewing quality control.
William S. Gossett
What type of t-test compares the
mean of a single
sample to known
population mean
ONE SAMPLE
what type of t-test, whether the
population mean
is different from a
constant
ONE SAMPLE
what type of t-test compares the mean scores of two different groups of subjects
INDEPENDENT
SAMPLE
test whether the population mean or differences between paired scores is equal to zero
INDEPENDENT
SAMPLE
test that compares the mean scores for the same group of subjects on two different occasions
PAIRED SAMPLE
test the relationship
between two
categories and a
quantitative variable
PAIRED SAMPLE
Assumption of ______________is common requirement in all the
types of t-tests shown above.
In which, the data set must be, or even approximately,
normally distributed.
normality
If variances are equal: _______t-test for
independent samples
Classical students’
If variances are not equal: _________ Test.
Welch
This test is more practical and realistic because population
parameters are not usually known or calculated, that’s why
there are only assumptions.
ONE SAMPLE T-TEST
o The value of the population standard
deviation is not known.
o The population is normally distributed and/or
the sample size is large (n > 30).
ONE SAMPLE T-TEST
• Both samples are simple random samples.
• The two samples are independent.
• σ1 an σ2 are unknown and assumption is made about
the equality of σ1 and σ2.
INDEPENDENT SAMPLES T-TEST
Either or both of these conditions are satisfied: The two
sample sizes are both large (with n1 > 30 and n2 > 30)
and/or both samples come from populations having
normal distribution.
INDEPENDENT SAMPLES T-TEST
If a sample is normally distributed, it must satisfy the
normality check; hence, the result must be ______.
not
significant