Stats 1 Flashcards
what is the standard deviation
mesure variabilty in data
what is z score
used for comparing a range of measurements
express how many sd units away from the mean a point in normal curve is
what is central limit theorem
distribution of all sample means will approach normal distribution
whilst individual sample means may deviate from the population mean,the mean of all sample means will equal the population mean
as the sample size increases, SD of sampling distribution decreases
what is the standard error of the mean
a statistic that represents the standard deviation of the sampling distribution
what does standard error represent
how confident we can be that our sample mean represents the population mean
what is population mean
mean of the sample means
what is type I error
rejecting null hypothesis when its true
what is type II error
accepting null hypothesis when its false
how does a small sample differ from normal sample on graph
pointier around mean
fatter around extreme
what determines df
shap of graph
how do we measure homogeneity of variance
examine sds
levenes test
what is the non parametric alternative for single sample t test and independent samples t test
wilcoxon signed ranks
mann-whitney u-test
what does a conservative alpha rate do
raises the chance of type II errror
how is familywise error corrected
using bonferroni method
what are two problems with multiple comparisons
computationally inefficient
increases overall probability of type 1 error
what is familywise error
the probability of making one or more false discoveries, or type I errors when performing multiple hypotheses tests
what is ANOVA
a stat test designed for factors with more than two levels that is computationally efficient
does not compromise type I error
what is between groups variance
the deviations of the group means from grand overall mean
describe the trend of between groups variance
the greater the group means differ from the grand mean, the bigger this will be
what is within groups(error)variance
the deviation within each group from each group mean
describe the trend of within groups (error) variance
the more scores within each vary from each other, the bigger this will be
what should between groups variance consist of
any treatment or condition effect plus measurement error
what should within groups (error) variance consist of
should consist only of measurement error
what does between groups vdf relate to
number of conditions
what does within groups(error) df relate to
participants per condition
what does the shape of f distribution depend on
2 dfs
what is degrees of freedom
the number of values in the calculation of each mean that free to vary
how do we calculate between groups df
nc-1
how do we calculare within groups (error) df for nk equal and nk varies
nc(nk-1)
N-nc
how is f distribution determines
by its two degrees of freedom
when is an f value significant
if it exceeds critical value(the value below which 95% of distribution lies)
how do we determine the distribution
examine histograms
what is between subjects ANOVA
compare different groups to determine whether any of the groups are significantly different from each other
ANOVA equivalent of independent samples t-test