![What is the grand mean? [1 pt(s)] Tries 0/3 Submit Answer Calculate the degrees of freedom Temperature Interaction Error [1 p](http://img.homeworklib.com/questions/022bc740-fa9f-11ea-af70-fbc0042bee54.png?x-oss-process=image/resize,w_560)
Homework Answers
| row and coulmn means=Σ x̅i/Σni | |||||||
| A | B | C | D | row total means | nj | SSA=nj( x̅j - x̅̅)² | |
| 1 | 50.05 | 67.34 | 58.695 | 6 | 6*(58.695-71.7933)²=1029.398 | ||
| 2 | 72.42 | 89.55 | 80.985 | 6 | 6*(80.985-71.7933)²=506.9204 | ||
| 3 | 63.04 | 88.36 | 75.7 | 6 | 6*(75.7-71.7933)²=91.5723 | ||
| 4 | |||||||
| column total means | 61.83666667 | 81.75 | 71.79333 | ||||
| ni | 9 | 9 | |||||
| SSB=Σni( x̅i - x̅̅)² | 9*(61.8367-71.7933)²=892.2169 | 9*(81.75-71.7933)²=892.2169 |
================
ALTERNATE-
=============
grand mean , x̅̅ = 71.793
=========
sALINITY= dfA = r - 1 = 3-1= 2
Temperatire = dfB = c-1 = 2-1= 1
Interaction = dfAxB = (r-1)*(c-1) = 2*1=
2
Error = dfE = N-rc= 18-3*2= 12
---------------
SSbetween=n( x̅ - x̅̅)²=
3478.1158
SSA=Σ nj( x̅j - x̅̅)²=
1029.398+506.9204+91.5723= 1627.8907
SSB=Σ ni( x̅i - x̅̅)²= 892.2169+892.2169=
1784.4338
SS AxB= SS between-SSA-SSB=
65.7913
SSE= 12.8155
MSAxB = SSAxB/dfAxB =
65.7913/2= 32.8956
F for interaction = MSAxB/MSE =
30.8024
yes, reject The null hypothesis
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