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Microsoft Word - Assignment 3.docx Statistical Methods I and II PSYC 2020 B A S S I G N M E N T # 3 D u e M o n d a y , A p r i l 6 , 2 0 2 0 , 1 0 : 0 0 p m Guidelines: 1. Everything should be hand-written. Show your work. 2. Submit the scanned version of your hand-written assignment on Moodle. 3. The submission folder will be closed at 10:00 pm on April 6, 2020. 1. A professor decides to develop a program to wean students in two of her courses off coffee. She recruits 10 coffee-addicted students (5 students from each of the two courses: PSYC 2021 and PSYC 2022) and alternates 3 weeks of counterbalanced treatments; complete withdrawal, gradual decrease and substitution of another substance (herbal tea) with weeks of unrestricted coffee drinking. She counts the number of cups of coffee imbibed during the unrestricted day following completion of each treatment. Note SSSX2= 314. Run an analysis of variance and complete the anova table. Perform any appropriate post hoc tests using Scheffé test. PSYC 2021 Complete Gradual Substitution 1 5 4 2 4 5 3 3 1 0 5 3 0 5 4 PSYC 2022 Complete Gradual Substitution 3 3 3 2 3 4 3 4 3 2 3 3 1 2 4 2. How would the results have changed if the students had been the same students in both courses? Recalculate only those SS that would change. If needed, perform post hoc tests using Tuckey’s HSD test. The professor thinks that complete withdrawal works better than the other two methods. Can you support her hypothesis using a planned comparison? Mixed Models for 3- way IND . groups ANOVA ##÷TED . ① APOC random ② A random - Bdc fixed §④ftxed . µ - MSA Msa Ago FA . - - MT MSB_* A ⑧ c FEE A:BFB" MSAB NUFB=MSB_MSc i A. t9F Fo - .myABq⑤¥:÷¥÷:1¥:i¥÷÷:÷. ' unFAC " Boy . @ Aces NOT FBC -- MSBLAqB①Fec = c FEET'm , MSABCmmsst.io. rafdaoaomr Fan--msAI*FABI - . msn.pe Missing dffor AC Mss CALL f dfforBC-uldfizcgdf-ABD-ldfacgdfsca.is ) HH/PSYC2020B (2019-2020) Instructor: Ji Yeh Choi 3-way ANOVA (study note) PSYC2020B: Statistical Methods I and II Questions Question #1. A professor collects data to test his hypothesis that students who ask more questions tend to sit toward the front of the class, have more background preparation and attend smaller classes. He collects data on 32 students who attend either small or large class. Data are provided as follows: Small Class (C1) Front (A1) Back (A2) More preparation (B1) 3, 6, 3, 3 9, 3, 6, 5 Less preparation (B2) 5, 4, 2, 2 2, 3, 4, 3 Large Class (C2) Front (A1) Back (A2) More preparation (B1) 5, 4, 3, 6 5, 3, 4, 4 Less preparation (B2) 6, 7, 3, 6 5, 2, 1, 7 1-1. Calculate the means for three 2-way interaction effects (AB, AC, and BC). 1-2. Complete the ANOVA table below. source SS df MS F A=location 2 B=background 3.12 C=class size 0.12 AB 8 AC 8 BC 6.13 ABC 0.5 S(ABC) 73 design - . END . groups . N' -32 . HBO . Math effects AaB , C fixed mode , qE€N0 ! Font . ✓ . 2 levels µ 2 . → 2/3.04 z levels p 3.12 . → 3.12/3.04 For,+( My 24) news A , 012 ILY!?!¥ } -- 4.3 .✓ ( I 8 → 813.04 I 6.13 T 6.13/3.04 ✓ I 0.5 → 0.5/3.04←N - ABC 3.04 .?}-4.222=32-8 error - term--AlS§ABc,partial.Y2= terete Norgay . were source t SS error found . " 7£ - 2- partial Y-BEf.biz#zz 2+73 ± *: ' *÷÷÷÷¥÷÷¥÷÷¥ y# s other ABILITIES . - g. ME A at BI @ ol' " F÷Ii±¥÷¥÷÷: f.÷:*: IA , c , { the hematin c- ng Beast÷÷÷÷÷÷¥¥i÷¥¥÷:: "fists :÷÷ . 3- way 'm µwfI*' " " → s.me → Po¥h*Yates; . . → . → . 'sIimmpkem. E . math effect A. * → post - hoc test HH/PSYC2020B (2019-2020) Instructor: Ji Yeh Choi Question #2. A researcher decides to test the effects of academic and extra-curricular pressures on the number of classes students miss. She chooses at random 3 large first-year psychology courses and surveys 192 students by asking how many classes they missed during the term. She also noted how many courses each student was taking (2-5) and whether they have a part-time job that requires more than 10 work hours per week (yes/no). The cell n's are equal. The cell means (not totals) are tabled below: # of courses # of courses 2 3 4 5 2 3 4 5 Social =3 1 1 4 3 2 1 3 Stats 8 7 7 9 7 7 9 9 Cognition 3 2 1 3 2 3 2 5 Job>10 hours=no Job>10 hours=yes Complete the ANOVA table, and perform any appropriate post hoc LSD t-tests. source SS A=course 1266 B=# of courses 118.67 C= job 5.33 AB 35.33 AC 4.67 BC 18.67 ABC 27.33 S(ABC) 856 Question #3. If the researcher in question #2 had not separated the students according to course, the result would have been a two-way design. Simply by manipulating the values in your ANOVA table for #2 (be explicit how you are doing this) and without completely recalculating the SS from the means or totals, show how the ANOVA table would change. C = . - . . ⑧4×02 N=l92 n= 192 ftKoto " . B z-wofff.jp 42-+8 898. - A2A -④ - . - • Cl CL ⑦ - ran ':÷µE¥¥¥Ii¥¥n** 5. 33 5-33/2-33 29 2 ) : ÷ :÷:÷÷÷÷÷÷÷÷÷÷t÷÷÷ :÷÷÷÷:3 6.22 = 4.76⑧4.55 = 2.16. g N - ABC 5.09 ,= 192--3.4-2=④total df -- N - ISS¥tE¥ Bc 18.67 a 8439185641266-35.33-467-27.33<111 4• i = 2189-33 lsd t . test for " a " t . . is . ="f=④# obs . 64it nxbxc = 8×4×2 ÷÷÷÷ . . tattoo or @ * lsd t-test for " b " td ! t -- - fete.. .# hobsa÷:÷ a21%34 § nominator . 2 vs 5 3 vs 4 3 us 5 he vs 5 03 . 3 way → 2 way source ss df - iii. i"÷÷¥¥÷÷÷±:* for - hc3 , 184 ) = 2.67 fort ( i . 184 ) 1 instructor: ji yeh choi (
[email protected]) unless otherwise noted, all material posted for this course are copyright of the instructor, and cannot be reused or reposted without the instructor’s written permission. statistical methods 1 psyc 2020 - statistical methods i and ii york university psychology department topic 7: three-way anova & non-parametric outline for today statistical methods 2 • three-way anova • nonparametric tests 2 3 parental supervision (a) age (b) favourite activity (c) aggression high (a1) primary school (b1) computer games (c1) 5 tv (c2) 5 secondary school (b2) computer games (c1) 5 tv (c2) 5 low (a2) primary school (b1) computer games (c1) 5 tv (c2) 8 secondary school (b2) computer games (c1) 8 tv (c2) 5 three-way anova statistical methods 4 three-way anova • main effect of supervision (a) • collapsed over age and activity (b & c) parental supervision (a) age (b) favourite activity (c) aggression high (a1) primary school (b1) computer games (c1) 5 tv (c2) 5 secondary school (b2) computer games (c1) 5 tv (c2) 5 low (a2) primary school (b1) computer games (c1) 5 tv (c2) 8 secondary school (b2) computer games (c1) 8 tv (c2) 5 statistical methods mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile user mobile 4•="" i="2189-33" lsd="" t="" .="" test="" for="" "="" a="" "="" t="" .="" .="" is="" .="f=④# obs . 64it NXBXC = 8×4×2 ÷÷÷÷ . . tattoo or @ * LSD t-test for " b="" "="" td="" !="" t="" --="" -="" fete..="" .#="" hobsa÷:÷="" a21%34="" §="" nominator="" .="" 2="" vs="" 5="" 3="" vs="" 4="" 3="" us="" 5="" he="" vs="" 5="" 03="" .="" 3="" way="" →="" 2="" way="" source="" ss="" df="" -="" iii.="" i"÷÷¥¥÷÷÷±:*="" for="" -="" hc3="" ,="" 184="" )="2.67" fort="" (="" i="" .="" 184="" )="" 1="" instructor:="" ji="" yeh="" choi="" (
[email protected])="" unless="" otherwise="" noted,="" all="" material="" posted="" for="" this="" course="" are="" copyright="" of="" the="" instructor,="" and="" cannot="" be="" reused="" or="" reposted="" without="" the="" instructor’s="" written="" permission.="" statistical="" methods="" 1="" psyc="" 2020="" -="" statistical="" methods="" i="" and="" ii="" york="" university="" psychology="" department="" topic="" 7:="" three-way="" anova="" &="" non-parametric="" outline="" for="" today="" statistical="" methods="" 2="" •="" three-way="" anova="" •="" nonparametric="" tests="" 2="" 3="" parental="" supervision="" (a)="" age="" (b)="" favourite="" activity="" (c)="" aggression="" high="" (a1)="" primary="" school="" (b1)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 5="" secondary="" school="" (b2)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 5="" low="" (a2)="" primary="" school="" (b1)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 8="" secondary="" school="" (b2)="" computer="" games="" (c1)="" 8="" tv="" (c2)="" 5="" three-way="" anova="" statistical="" methods="" 4="" three-way="" anova="" •="" main="" effect="" of="" supervision="" (a)="" •="" collapsed="" over="" age="" and="" activity="" (b="" &="" c)="" parental="" supervision="" (a)="" age="" (b)="" favourite="" activity="" (c)="" aggression="" high="" (a1)="" primary="" school="" (b1)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 5="" secondary="" school="" (b2)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 5="" low="" (a2)="" primary="" school="" (b1)="" computer="" games="" (c1)="" 5="" tv="" (c2)="" 8="" secondary="" school="" (b2)="" computer="" games="" (c1)="" 8="" tv="" (c2)="" 5="" statistical="" methods="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="" mobile="" user="">