STATISTICAL ANALYSIS
(RJ Gonzales)
SIGNIFICANT DIFFERENCE
Hypotheses Test
Ho: There is no significant difference in measurement between/among groups
Ha: There is a significant difference in measurement between/among groups
Decision Rule: Reject Ho if p-value < alpha (0.05, common), fail to reject Ho, otherwise
Decision: Decide for each p-value if Ho will be rejected or not.
Conclusion:
Group Statistics
Group
Moisture Content
Milling Time
Rework
Mass of Rework
Coarse Sugar Size
Milling Time of Rework
N
Mean
Std. Deviation
Std. Error Mean
1
3
2.533
.5033
.2906
2
3
1.400
.0000
.0000
1
3
800.00
150.997
87.178
2
3
1193.33
306.745
177.099
1
3
1.00
.000
.000
2
3
4.00
1.000
.577
1
3
500.00
100.000
57.735
2
3
603.67
89.310
51.563
1
3
6.400
.3606
.2082
2
3
6.067
.5686
.3283
1
3
300.00
60.000
34.641
2
3
695.67
216.957
125.260
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
95% Confidence Interval of the
Std. Error
F
Moisture Content
Equal variances assumed
Sig.
5.953
t
.071
Equal variances not assumed
Milling Time
Equal variances assumed
2.527
.187
Equal variances not assumed
Rework
Equal variances assumed
4.000
.116
Equal variances not assumed
Mass of Rework
Equal variances assumed
.000
.992
Equal variances not assumed
Coarse Sugar Size
Equal variances assumed
.916
.393
Equal variances not assumed
Milling Time of Rework
Equal variances assumed
Equal variances not assumed
5.922
.072
df
p-value
Mean Difference
Difference
Difference
Lower
Upper
3.900
4
.018
1.1333
.2906
.3265
1.9401
3.900
2.000
.060
1.1333
.2906
-.1170
2.3837
-1.993
4
.117
-393.333
197.393
-941.385
154.718
-1.993
2.916
.143
-393.333
197.393
-1031.953
245.286
-5.196
4
.007
-3.000
.577
-4.603
-1.397
-5.196
2.000
.035
-3.000
.577
-5.484
-.516
-1.339
4
.252
-103.667
77.409
-318.588
111.254
-1.339
3.950
.252
-103.667
77.409
-319.666
112.333
.857
4
.440
.3333
.3887
-.7460
1.4126
.857
3.384
.448
.3333
.3887
-.8280
1.4946
-3.044
4
.038
-395.667
129.962
-756.499
-34.834
-3.044
2.304
.078
-395.667
129.962
-889.744
98.410
The following variables have significant difference when group between proposed machine and manual at 5% significance level: Moisture Content, Rework, and Milling Time of
Rework.
ARJAY T. ALTOVAR
Statistician