Question
Please help me with #4. Clearly show all formulas and steps so I can follow along. thank you!
PY 151 HW8 (Protected View) Word t References Mailings Review View 9 Tell me what you want to do an contain viruses. Unless you need to edit it's safer to stay in Protected View Enable Editng Psych Stats PY 151 Homework 8 Due: Tuesday, April 25th Name Far each problem, complete the hypothesis testing pracedure using ANovA. Folla the general outline for hypothesis testing your authors provided and clearly label each of the following: 1) state the research hypothesis: 2) complete hypothesis testing steps 1-4 (see ppv 354-361) specific ANOWA nd 3) state the conclusions about the research hypothesis justified by the ANOVA, including hether any post hoc tests are required. Finally ke certain you provide an ANOVA summary table as the last piece of work you do in Step 3-the calculations-to help you become familiar with reading and understanding what the ANOVA produces. PLEASE NOTE CAREFULLY: I provided most of the calculations and a partially completed summary table for problem 1 and partial calculations problems 2-4. for
Explanation / Answer
SS due to treatment=SST=(T12/n1+T22/n2+T32/n3)- (T1+T2+T3)2/N
=(93*93/5+106*106/5+132*132/5)-(93+106+132)* (93+106+132)/15
=157.73
Total SS =TSS=Sum(all x2)- (T1+T2+T3)2/N
=(1783+2342+3548)-(93+106+132)* (93+106+132)/15
=368.93
SS due to error =SSE=TSS-SST=368.93-157.73=211.2
So, ANOVA table is as follows:
Source
SS
Df
MS
F
P
Between
157.73
k-1=3-1=2
157.73/2=78.87
78.87/14.08=5.60
0.0191 using excel function =FDIST(5.6,2,12)
Within
211.2
N-k=15-3=12
211.1/15=14.08
Total
368.93
N-1=15-1=14
Source
SS
Df
MS
F
P
Between
157.73
k-1=3-1=2
157.73/2=78.87
78.87/14.08=5.60
0.0191 using excel function =FDIST(5.6,2,12)
Within
211.2
N-k=15-3=12
211.1/15=14.08
Total
368.93
N-1=15-1=14