Question

latalp A one way analysis of variance was conducted on groups. The total standard devation was calculated to be 1. The total degrees of freedom was found to be 4 and the resulting p value was found to be 0.05. Use the given Information to fill out the rest of the ANOVA teble. freedom? What is the number of treatment degrees 2 pts) You are correct. Your receipt no. is 159-5174 Previous Tiles What is the denominator degrees of freedom for the test statistic? 2 (1 pts)] You are correct. Your receipt no, is 159-7290 Previous Tries How many total observations were there? 5(1 p You are correct. Your receipt no. is 159-6448 Previous Tries What is the value of Fobs? pl Satri Are Tries / Calculate SST [1 pt(s)] Sila Tries 0/3 Calculate SSE [1 pt(s)] Sare Are Tries 0/3 Calculate SSA 1 persil San Art Tries 0/3 Calculate the MSE Seti Area Tries 0/3 Calculate MSA [1 ptisil Satel Arxer Tries 0/3

Answer 1

Sol:

Answer :

total sample size = total degree of freedom + 1 = 18 +1 = 19

SST = (total standard deviatio * total degree of freedom)^2 = (2*18)^2 = 1296

So SST is 1296

Now if we look at the F table at alpha = 0.25

we have F value at 4 degree of freedom for numerator (5-1) and 14 degree of freedom at numerator (19-5) is 1.519

So F value is 1.519

Based on this,

F= MSA/MSE

Now MSA = SSA/ degree of freedom betweein group

MSA =SSA/4

MSE =SSE/degree of freedom witihn group

MSE = SSE/14

Now

SST = SSA +SSE

so SSA = SST-SSE

Based on all value

F = (SSA/4)/(SSE/14)

F = ((SST-SSE)/4)/SSE/14

F = 1.519

SST =1296

1.519 = ((1296-SSE)/4)/(SSE/14)

1.519*SSE/14 = (1296-SSE)/4

6.076 SSE = 18144 -14SSE

20.076 SSE = 18144

SSE =903.76

so SSE = 903.76

SSA = SST-SSE = 1296 - 903.76 = 392.24

SSA = 392.24

Now,

MSA = SSA/4

MSA = 392.24/4 = 98.058

MSA = 98.058

MSE = SSE/14 = 903.76/14 = 64.555

MSE=64.555

So

SST =1296

SSE =903.76

SSA =392.23

MSA = 98.058

MSE = 64.555