For the fluorescence signal from solutions stored under different conditions. From last lecture, which means differ significantly? Treatment/ Group Conditions Replicate Mean A 102 100 101 101 A: Freshly prepared B 101 101 104 102 B: Stored for 1 hr in the dark C: Stored for 1 hr in subdued light D: Stored for 1 hr in bright light 99 97 94 92 Overall mean 98 Anova: Single Factor SUMMARY Groups Count Sum Average Va riance 3 303 101 1 Decision: Since calculated F(20.67) is more than critical F of 4.07 (or since p-value is 0.0004 which is smaller than a =0.05), we reject the null hypothesis. 3 306 102 3 3 291 97 4 3 276 92 4 ANOVA e of Vario df MS F P-value F crit Conclusion: The sample means do differ significantly. Between C 186 3 62 20.66667 0.0004 4.066181 Within Grd 24 8 3 Total 210 11
For the fluorescence signal from solutions stored under different conditions. From last lecture, which means differ significantly? Treatment/ Group Conditions Replicate Mean A 102 100 101 101 A: Freshly prepared B 101 101 104 102 B: Stored for 1 hr in the dark C: Stored for 1 hr in subdued light D: Stored for 1 hr in bright light 99 97 94 92 Overall mean 98 Anova: Single Factor SUMMARY Groups Count Sum Average Va riance 3 303 101 1 Decision: Since calculated F(20.67) is more than critical F of 4.07 (or since p-value is 0.0004 which is smaller than a =0.05), we reject the null hypothesis. 3 306 102 3 3 291 97 4 3 276 92 4 ANOVA e of Vario df MS F P-value F crit Conclusion: The sample means do differ significantly. Between C 186 3 62 20.66667 0.0004 4.066181 Within Grd 24 8 3 Total 210 11
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Anova exercise . Show the step and output using Excel.

Transcribed Image Text:= Menu v
Home
Insert
Page Layout
Formulas
Review
View
Tools
Q Click to find commands
Data
X Cut
- A A
Calibri
11
General
.00
Paste L copy - Format
BIU- - E -
Merge and
Wrap
AutoSum AutoFilter Sort Format
Conditional
Format as
Painter
Center
Тext
Formatting
Table
P25
® fx
A
В
E
F
G
H
M
N
1
C =
E;ni
Replicate 1 Replicate 2 Replicate 3 Mean
TSS = Eau (Xij – x)² = Eau *ij – C
(E, xij²)
E" n;(X; – x)² = E;
A
102
100
101
101
-
5 В
101
101
104
102
6 с
97
95
99
97
SSB =
- C
nį
7 D
90
92
94
92
SSW = TSS – SSB
df within = df total – df between
Where
.2
X: Overall mean
X;: Mean of group/treatment i
4
Xij: data for treatment i and replicate j
_6
n¡: no of replicates in treatment i
_8
In this eg., i=4 and j=n
20
21
2

Transcribed Image Text:• For the fluorescence signal from solutions stored under different
conditions. From last lecture, which means differ significantly?
Treatment/
Group
Conditions
Replicate
Mean
A
102
100
101
101
A: Freshly prepared
B
101
101
104
102
B: Stored for 1 hr in the dark
C: Stored for 1 hr in subdued light
D: Stored for 1 hr in bright light
97
95
99
97
D
90
92
94
92
Overall mean
98
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Averoge
Voriance
3
303
101
1
Decision: Since calculated F(20.67) is more than critical F
of 4.07 (or since p-value is 0.0004 which is smaller than a
=0.05), we reject the null hypothesis.
B
3
306
102
3
3
291
97
4
D
3
276
92
4
ANOVA
ce of Vario
df
MS
F
P-value
F crit
Conclusion: The sample means do differ significantly.
Between C
186
3
62 20.66667
0.0004 4.066181
Within Gro
24
8
Total
210
11
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