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Analysis of Ring Spun Yarn Wickability Using the Post-Hoc Test

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Post-hoc test for the effect of the twist factor on wickability

No. Comparison Groups P-value (T test) No. Comparison Groups P-value (T test)
1 P21-P22 0.00028 4 P31-P32 0.3754
P21-P23 7.17E-07 P31-P32 5.24E-06
P22-P23 0.00396 P32-P32 0.00225
2 C21-C22 8.26E-05 5 C31-C32 0.0015
C21-C23 3.24E-05 C31-C33 0.00016
C22-C23 0.39513 C32-C33 0.24159
3 CP21-CP22 0.3974 6 CP31-CP32 0.32861
CP21-CP23 1.78E-09 CP31-CP33 0.00016
CP22-CP23 1.03E-10 CP32-CP33 0.00804

ANOVA results for the effect of twist factor on wickability

Groups F P-value F crit
P21-P22-P23 35.804 3.10E-07 3.682
P31-P32-P33 25.833 1.38E-05 3.682
C21-C22-C23 33.219 2.57E-06 3.682
C31-C32-C33 69.381 2.63E-08 3.682
CP21-CP22-CP23 310.854 7.97E-13 3.682
CP31-CP32-CP33 13.081 0.000515 3.682

Wicking height (mm)

Doubling 2 3
TF 2.8 3.8 4.8 2.8 3.8 4.8 2.8 3.8 4.8 2.8 3.8 4.8 2.8 3.8 4.8 2.8 3.8 4.8
Fiber type Polyester 100% Cotton100% Cotton /polyester 50% 50% Polyester 100% Cotton100% Cotton/polyester 50% 50%
Group P21 P22 P23 C21 C22 C23 CP21 CP22 CP23 P31 P32 P33 C31 C32 C33 CP31 CP32 CP33
Run
1 126 113 106 65 57 56 85 85 50 92 85 76 60 50 35 52 39 33
2 121 111 107 63 56 58 86 83 50 89 83 77 62 52 38 50 35 36
3 122 112 103 62 56 56 88 88 51 91 88 78 63 38 37 52 50 35
3 119 117 106 67 58 57 90 87 55 93 92 78 60 51 35 39 38 33
5 121 116 109 68 60 52 82 83 53 88 95 79 65 35 52 50 52 36
6 123 109 111 65 55 57 85 83 52 87 83 80 62 38 36 38 51 36
Average 122 113 107 65 57 56 86 85 52 90 88 78 62 44 39 47 44 35

Post-hoc test for the effect of doubling on wickability

No. Comparison P-value
Groups (T test)
1 P21 -P31 2.90E-06
P22-P32 2.69E-06
P23-P33 5.24E-07
2 C21-C31 0.04836
C22-C32 0.01172
C23-C33 0.00423
3 CP21 -CP31 6.60E-05
CP22-CP32 6.30E-05
CP23-CP33 2.00E-05

Post-hoc test for the effect of fiber type on wickability

No Comparison P-value No. Comparison P-value
Groups (T test) Groups (T test)
1 P21-C21 1.25E-12 4 P22-C22 2.07E-10
P21-CP21 5.25E-08 P22-CP22 1.96E-08
C21-CP21 3.21E-10 C22-CP22 3.80E-10
2 P31-C31 6.44E-10 5 P32-C32 1.03E-06
P31-CP31 5.05E-06 P32-CP32 9.50E-07
C31-CP31 0.00156 C32-CP32 0.97083
3 P23-C23 4.80E-11 6 P33-C33 3.01E-05
P23-CP23 1.86E-11 P33-CP33 1.74E-13
C23-CP23 0.00508 C33-CP33 0.195

Design of experimental model

Run Fiber Type Doubling TF
1 1 1 1
2 1 1 2
3 1 1 3
4 2 1 1
5 2 1 2
6 2 1 3
7 3 1 1
8 3 1 2
9 3 1 3
10 1 2 1
11 1 2 2
12 1 2 3
13 2 2 1
14 2 2 2
15 2 2 3
16 3 2 1
17 3 2 2
18 3 2 3

ANOVA results for the effect of fiber type on wickability

Groups F P-value F crit
P21-C21-CP21 812.935 5.1E-16 3.682
P31-C31-CP31 166.751 5.68E-11 3.682
P22-C22-CP22 812.601 5.12E-16 3.682
P32-C32-CP32 79.571 1.03E-08 3.682
P23-C23-CP23 1077.283 6.28E-17 3.682
P33-C33-CP33 217.260 8.42E-12 3.682

Material specifications

Levels Fiber type Doubling Twist factor T.F
1 Polyester 100% 2 ply yarns 2.8 (low)
2 Cotton100% 3 ply yarns 3.8 (medium)
3 Cotton Polyester50% 50% ...... 4.8 (high)