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Ids 371 Hw 3

In:

Submitted By aville6
Words 298
Pages 2
Assignment 3

1.
a)
ANOVA
Source of Variation SS df MS F P-value
Between Groups 41947.38889 1 41947.38889 6.901289121 0.009187404
Within Groups 1410141.504 232 6078.196139 Total 1452088.893 233

x̄1 = 612.37 S1 = 73.56 x̄2 = 585.59 S¬2 = 82.13
X bar bar = 598.98

SSA = 117[(612.37 – 598.98)2 + (585.59 – 598.98)2] = 41,954.3514

SSE = (117 – 1)(73.56)2 + (117 – 1)(82.13)2 = 1,410,143

SST = SSA + SSE = 41,954 + 1,410,143 = 1,452,097

MSA = SSA/DFA = 41,954/1 = 41,954

MSE = SSE/DFE = 1,410,143/232 = 6078.2025

F = MSA/MSE = 41,954/6078 = 6.90
(1, 233)

.001 < p-value < .01

b)
ANOVA
Source of Variation SS df MS F P-value
Between Groups 72116.77778 2 36058.38889 6.035982713 0.002784876
Within Groups 1379972.115 231 5973.905261 Total 1452088.893 233

X1 = 623.79 S1 = 70.81
X2 = 585.94 S2 = 73.12
X3 = 587.21 S3 = 86.96
X bar bar = 598.98

SSA = 78(623.79 – 598.98)2 + 78(585.94 – 598.98)2 + 78(587.21 – 598.98)2 + 78(615.5361)2 + 78(170.0416)2 + 78(138.5329)2 = 72,080.6268

SSE = (78 – 1) (70.81)2 + (78 – 1)(73 .12)2 + (78 – 1)((86.96)2 = 1,380,043

SST = SSA + SSE = 72,081 + 1,380,043 = 1,452,124

MSA = SSA/(DFA ) = 72,081/2 = 36,040.5

MSE = SSE/DFE = 1,380,043/231 = 5974.21

F = MSA/MSE = 36,040.5/5974.21 = 6.03
(2, 253)
P – Value: .001 < p < .01

c.

Source DF SS MS F P-Value
RF A 2 141712.29 70856.15 13.36

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