use anova at 5% level of significance to determine who will be granted abc scholarship grade based on academic performance

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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use anova at 5% level of significance to determine who will be granted abc scholarship grade based on academic performance

REC
USE ANOVA AT 5% LEVEL OF SIGNIFICANCE TO DETERMINE WHO WILL BE
GRANTED ABC SCHOLARSHIP BASED ON ACADEMIC PERFORMANCE
A
B
C
100
140
130
100
123
150
Source of
Variation
Sum of
Squares
Degrees of
Freedom
155
Mean
Square
134
100
145
143
122
SSB
Between SSB
K-1
S₁² = k-1
133
144
155
Within
SSW
N-k
S₂² =
SSW
n-k
143
122
144
132
155
111
Total
TSS
N-1
((≥A + ΣB + ··· + EN)²`
Total Sum of Squares (TSS) = (ZA²+{B² + ... + Σn²)
N
Sum of Squares Between (SSB) =
ΣΑΖ + ΣΒ2 + … + Ση
no. of rows
(ZA + B + ... + EN)²
+
N
Sum of Squares Within (SSW) = TSS - SSB
Kristina Paula Nacario's screen
Computed
F
Transcribed Image Text:REC USE ANOVA AT 5% LEVEL OF SIGNIFICANCE TO DETERMINE WHO WILL BE GRANTED ABC SCHOLARSHIP BASED ON ACADEMIC PERFORMANCE A B C 100 140 130 100 123 150 Source of Variation Sum of Squares Degrees of Freedom 155 Mean Square 134 100 145 143 122 SSB Between SSB K-1 S₁² = k-1 133 144 155 Within SSW N-k S₂² = SSW n-k 143 122 144 132 155 111 Total TSS N-1 ((≥A + ΣB + ··· + EN)²` Total Sum of Squares (TSS) = (ZA²+{B² + ... + Σn²) N Sum of Squares Between (SSB) = ΣΑΖ + ΣΒ2 + … + Ση no. of rows (ZA + B + ... + EN)² + N Sum of Squares Within (SSW) = TSS - SSB Kristina Paula Nacario's screen Computed F
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