Apply the AOV F test. A large laboratory has four types of devices used to deter
ID: 3333000 • Letter: A
Question
Apply the AOV F test.
A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study, and randomly assigns six of the samples to each device. The soil samples are tested and the response recorded is the difference between the pH reading of the device and the known pH of the soil These values, along with summary statistics, are given in the following table Sample Device 307 .176 .137 042 .294 .125 063 690 079 013 240 201 019 082 050 .166 .136 091 .318 219Explanation / Answer
MTB > Twoway 'Y' 'device' 'sample';
SUBC> Additive;
SUBC> Means 'device' 'sample'.
Two-way ANOVA: Y versus device, sample
Source DF SS MS F P
device 3 0.373647 0.124549 3.36 0.055
sample 4 0.143938 0.035984 0.97 0.459
Error 12 0.445028 0.037086
Total 19 0.962612
S = 0.1926 R-Sq = 53.77% R-Sq(adj) = 26.80%
Individual 95% CIs For Mean Based on
Pooled StDev
device Mean ------+---------+---------+---------+---
1 -0.1278 (---------*--------)
2 0.0218 (--------*--------)
3 0.1164 (---------*--------)
4 0.2468 (--------*---------)
------+---------+---------+---------+---
-0.20 0.00 0.20 0.40
Individual 95% CIs For Mean Based on
Pooled StDev
sample Mean -----+---------+---------+---------+----
1 -0.09700 (---------*----------)
2 0.11450 (----------*---------)
3 0.12675 (---------*----------)
4 0.05425 (----------*---------)
5 0.12300 (---------*----------)
-----+---------+---------+---------+----
-0.20 0.00 0.20 0.40
result-sample and device ,p-value is more than alpha level of significance . so that accept hull hypothesis.
hypothesis,H0:u1=u2=u3=u4=u5 vs H1:not equal to all means.
device,H0:u1A=u2B=u3C=u4D vs H1:not equal to all means.
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