ANOVA Cheat Sheet One way ANOVA Source df MS F Between Groups (B) SSB = ng-1 sSg/dfB msg/msw -ΣΣα- Within Groups (W) SSw = N-ng sSwldfw Total (T) SSg+ SSw N-1 Repeated Measures ANOVA Source S df MS F EC? G? Ssc = Between Conditions (C) с-1 sscldfc msc/msR cs Es? G? SSs = Between Subjects (S) s-1 CS Residual (R) SSR = SST-SSc-SSs (c-1)(s-1) SSRldfR G2 Total (T) SST = EX2 –. CS cs-1 Factorial ANOVA Source df MS F ΣΑΡ SS, = nb G2 Between Columns (A) а-1 ss,ldfA msĄ/msw nab G2 EB2 SSB = па ss gldfB Between Rows (B) b-1 mSg/msw nab E(AB)? G? ass-Vss- (a-1)(b-1) | SSAB/df AB | msAB/msw Interaction (AB) SSAB = nab Within cells(W) SSw = SST-SSĄ-SSB-SSAB ab(n-1) sSwldfw G2 SS7 = EX² Total (nab)-1 nab 1. A therapy center wanted to test their training method vs three other styles of training. Five individuals went through three training groups and were measured on their effectiveness with a mock client. Is there any difference in the effectiveness of the three programs? Training 1 Training 2 Training 3 19 17 28 12 19 26 19 13 33 ΣΧ?7175 22 16 30 20 15 26 Critical Value= 4.46 Solve for the appropriate test statistic(s). Fill out a completed ANOVA Table on the answer sheet

One-Way ANOVA A researcher wants to know if the time of day that a test is taken affects critical thinking ability. Factor (IV) = Time of Day DV = correct answers on a critical thinking abilities test. MORNING AFTERNOON NIGHT 4 3 8 3 1 4 5 3 6 4 1 6   ENTER VARIABLE: Time_of_Day Value Labels for each level 1 = Morning, 2 = afternoon, 3 = Night   Move DV in to “Dependent List” Move IV in to “Factor” Select the Tukey post hoc analysis Click “options” Descriptive Stats Homogeneity of Variance test (should be greater than alpha level) THREE or FOUR THINGS to REPORT You will be reporting three or four things, depending on whether you find a significant results for your one-way ANOVA. Test type and use You want to tell your reader what type of analysis you conducted. This will help your reader make sense of your results. You also want to tell your reader why this particular analysis was used. What did your analysis test for? EXAMPLE: “A…

ANOVA: Single Factor SUMMARY Groups Treatment 1 Treatment 2 Treatment 3 Treatment 4 ANOVA Source of Variation Between Groups Within Groups Total Count 16 19 17 15 SS 65.2023 409.9619 475.1642 Sum 87 111 66 53 Average Variance 5.4375 9.0625 5.8421 8.3626 3.8823 4.6103 3.5333 3.5524 df MS A B C F P-value Find the values that would go in boxes A, B, and C of this ANOVA table. Please identify each answer by typing the following below A = # , B = #, C = #

We have a table of cities and temperatures. Use 1 Way fixed-effects ANOVA tocalculate the F value showing your work.city temperatureOrlando 70Orlando 65Orlando 60Orlando 65Dallas 75Dallas 65Dallas 60Dallas 60Chicago 50Chicago 50Chicago 40Chicago 40The null hypothesis is H0 : µOrlando = µDallas = µChicago