# STAT 503 Quiz VI

 The flashcards below were created by user MRK on FreezingBlue Flashcards. Limits to ANOVA population must be normally distributedsamples are independent and randomsd of sample = sd of larger population therefore pooled SE ANOVA Hypothesis H0: u1 = u2 = u3 HA: at lease one u is different n dot total number of observations yij observation in j position from group i SSW sum of squares within(yij - meani)2 + (yij - meani)2 + all js df within n dot - number of categories MSW mean squares within= SSW/dfW SSB sum of squares betweenni(yi - ygrand)2 + ...Will go up if one mean is higher (reject) y- double bar overall mean(ni * group mean) + (ni * group mean) / n dot df between I - 1 MSB Mean Squares between= SSB/dfB SS(total) SS(total) = SSW + SSBdf = total observations -1 distance of yij from grand mean (yij - yi mean) + (yi mean - grand mean) Values in ANOVA table df (w & b) totalSS (w & b) totalMS (w & b) no totalFs Fs test statistic for ANOVAMSB/MSWHigh = rejectdistribution like X2 relationship btw F-test and t-test F2 = ts2 using pooled SEFalpha = talpha/22 df = n1 + n2 -2non-directionalwill have same decision eg F(4,20).05 F(dfB, dfW)alphacan get I and n-dot from Conditions of validity for ANOVA Population sds are equalwithin each group the samples are from normal populations are large nindependent and random samples how to check if sd's are similar residuals:add/subract average - to center on zerowant parallel lines checking for normality? plot qq in straight line response variable explanatory variable (controlled) YX, predictor, co-variate r measures strength of relationship X and Y Hypothosis for correlation btw X and Y H0: rho = 0HA: rho ≠ 0 ts for X, Y correlation t-test= r* √(n-2)/(1-r2)df = n - 2 ei residuals= (yi - bo - mxi)want them to be smallest AuthorMRK ID272014 Card SetSTAT 503 Quiz VI DescriptionANOVA and Regression Updated2014-05-08T17:48:17Z Show Answers