exam 4 Flashcards
inferential statistics
used to determine whether results match what would happen if we were to construct experiment again and again
(basically testing to see if sample means reflect a true difference in population means)
formal term for null hypothesis
Ho
goal of inferential statistics
determine chance (probability) of getting a particular outcome (sample) if our assumption about the world (null hypothesis) is true.
what do you do if probability is too low
reject null hypothesis
how to calculate probability
p=frequency/all outcomes-
null hypothesis
population means are equal-observed differences is due to random error
“there is no change, difference or relationship in the general population”
research hypothesis
population means are not equal
binomial distribution
likelihood that a value will take one of two independent values under a given set of parameters or assumptions. The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive, or independent of each other.
in a coinflip test, the binomial distribution represents the..
null hypothesis
possible outcomes=
population
probability of getting a particular outcome
sample
if the probability of your “sample” is high
enough given your null hypothesis…(“population”),
“fail to reject the null hypothesis”
if sample is too unlikely you..
“reject null hypothesis”
why do we say fail to reject null
Hypotheses can be rejected with certainty,
but the correct single one may never be identified…
research hypothesis in formal terms
H1
statistical significance
a significant result when the outcome has a very low probability of occurring if the population means were equal
what is the probability required for significance called
alpha level
alpha level
the probability required for significance
research hypothesis is also called..
alternative hypothesis
how to specify null hypothesis formally
u1=u2
u1=0.5
u1=u2=u3=u4..(iv has more than two levels)
how to specify if researcy hypothesis is correct in formal terms
u1 =/= u2
u1=/=0.5
u1>0.5, etc
“at least one differs from the rest’
sampling distributions are based on..
the assumption that the null hypothesis is true
deals with probability charts?
p value
actual probability of result if null hypothesis was true
importance of sampling size
as sample size increases, you’re more likely to obtain an accurate estimate of the true population value
Type I error
rejecting the null hypothesis (H0) when it is actually true
Type II error
failing to reject (or, accepting)
H0 when an alternative hypothesis (H1) is
actually true.
t test
used to examine weather two groups are statistically different to each other.
reflects all possible outcomes we could expect if we compare the means of two groups and null hypothesis true
what is the t value
ratio of two aspects of data, the difference between means and the variability within groups