Final ANOVA study guide Flashcards
type one error
rejecting a true null hypothesis
alpha
type 1 error
type 2 error
accepting a false null
beta
type 2 error
decreased alpha leads to what
increased beta & vise versa
increased type 2 error leads to
decreased level of significance, decreased type 1 error, less power, lacking ability to detect significance when it does exist
increased type 1 error leads to
increased level of significance, decreased type 2 error, greater power, increase likelihood of telling significant difference (power)
power
probability of rejecting a false null hypothesis and obtaining a statistically significant result
power equation
1-beta
if power =.8
find significance 80% of the time
ways to increase power
increase sample size, increase type 1 error rate, homogenous groups, intensify tx’s to observe greater differences, one tail over two tail, stronger design in pair t-test rather than pooled
a decreased type 1 error
decreased power and less likely to tell significant differences
p < alpha
rejecting null
p > alpha
fail to reject null (retain it)
Beta
probability that x has no effect when it does __ % of the time
alpha
probability of concluding x has an effect when it does NOT __ % of the time
power = .99
b=.01, effects of x truely have an effect on y, it will be detected 99% of the time
CR Assumptions
variances are equall (homogeneity of variance), normally distributed across groups of DV , no outliers, indendence observed in design
making F more robust
increase sample size
post hoc liberal tests
greater power, increased type 1 error, greater ability to detect a significant difference when it does exist
RM & RMF assumptions
independence observe in design, normally distributed DV, homogeneity of variance, sphercity (homo across p levels)
If sphericity is violated and ANOVA is sig
researcher is confident in result, type 1 error < alpha
increased type two error rate with violated sphericity
insig anova and –> less confidence in results
CRF-pq assumptions
independence, normality across DV groups, homogenity of variances; tx combos=SS, interaction between Tx effects sig?, fix or random tx, no interatiion BTWN groups
