Prophesy of Spiker
Performance on the basis of selected Anthropometric Characteristics
Mithilesh Kumar Singh1, Arti Dhankhar2,*, Rakesh
Kumar Patel3, Rajeev Choudhary4
1 Research Scholar, School of Studies in Physical Education,
Pt. Ravishankar Shukla University, Raipur (C.G.)
2Associate Professor, Ramjas College,
University of Delhi
3Lecturer, DIET, Shahjahanpur (U.P.)
4Professor in Physical Education, Pt.
Ravishankar Shukla University, Raipur (C.G.)
Abstract
Objective: The study was conducted with an objective to prophesy
the spiker’s performance on the basis of anthropometric characteristics.
Variables: In the
study, Spiker’s Performance was selected as dependent variable (DV) and
selected anthropometric characteristics
i.e. SH (Spiker’s Height), SW (Spiker’s Weight), SAL (Spiker’s Arm
Length), SFAL (Spiker’s Fore Arm Length, SUAL (Spiker’s Upper Arm Length), SUAC
(Spiker’s Upper Arm Circumference), SWC (Spiker’s waist Circumference), SHC
(Spiker’s Hip Circumference), SLL (Spiker’s Leg Length), SLLL (Spiker’s Lower
Leg Length), STC (Spiker’s Thigh Circumference) and SCC (Spiker’s Calf
Circumference) were observed independent variables (IV).
Subjects: For the purpose of the present study, 75 spikers were selected as
subjects from interuniversity level volleyball tournament organized in India.
Statistical Analysis: To find out relationship between Dependent Variable
(Spiker’s Performance) and Independent Variables (selected Anthropometric
Characteristics), product moment correlation and multiple correlations were
applied. For the prophecy of Dependent Variable (Spiker’s Performance) on the
basis of Independent Variables (selected Anthropometric Characteristics),
multiple regression equation was applied.
Conclusions: For the prophecy of Dependent Variable (Spiker’s Performance)
on the basis of Independent Variables (selected Anthropometric Characteristics)
two regression models are established. Established regression models are: (1)
Spiker’s Performance = -35.586 +.667 X Spiker’s Arm Length and (2) Spiker’s
Performance = -23.512 +.458 X Spiker’s Arm Length + .210 X Spiker’s Upper Arm
Circumference.
Keywords - Spiker’s Performance and Anthropometric Characteristic
Introduction
Volleyball is a team game in which two teams of six
players are separated by a net. Each team tries to score points by grounding a
ball on the other team’s court under organized rules. It has been a part of the
official program of the summer Olympic games since 1964. In India it was in the
year 1952 that the first national championship was held at Chennai (Uppal, A.
K., & Satyanarayana, V.). Anthropometric has been used for identification
and understanding human physical difference as an early tool of physical
anthropology. Anthropometry is derived from a Greek word anthropos which means
“human” and metron which means “measure”. Anthropometry involves the systematic
measurement of physical properties of human body. A French mathematician was
the first known person to use the term “anthropometric or anthropometry,” the
measurement of man dates back to ancient civilizations and is the oldest form
of measurement. It was of great interest in ancient India and later in Egypt
where study was undertaken to find one part or component of the body that would
predict or become common measurement of all body parts. In Egypt, for example
the length of the middle finger was considered a common measure of all body
proportions. For instance, 5 finger length to knee, 10 to the pubic arch and 8
to the length of the arm reach. The Greeks were experts in body proportions. Not
only in the game of volleyball, but in all the games, there is significant
contribution of anthropometry. In different games, players play at different
playing positions with different specialty, as a results different
anthropometric measurements are required at different positions, due to
differential nature of requirement.
Objective of the study
The objective of the study was to prophesy spiker’s
performance on the basis of anthropometric characteristics.
Variables of the study
For the purpose of the
study, Spiker’s Performance was selected as dependent variable (DV) and
selected anthropometric characteristics
i.e. SH (Spiker’s Height), SW (Spiker’s Weight), SAL (Spiker’s Arm
Length), SFAL (Spiker’s Fore Arm Length, SUAL (Spiker’s Upper Arm Length), SUAC
(Spiker’s Upper Arm Circumference), SWC (Spiker’s waist Circumference), SHC
(Spiker’s Hip Circumference), SLL (Spiker’s Leg Length), SLLL (Spiker’s Lower
Leg Length), STC (Spiker’s Thigh Circumference) and SCC (Spiker’s Calf
Circumference) were observed independent variables (IV).
1.
Subjects of the study
The study included the subjects who
participated in Inter-university level Volleyball Tournament organized under
the banner of Association of Indian Universities in India. A total of 75 male
spikers were purposively selected for the study. The age of the subjects ranged
from 18 - 28 Years.
2.
Statistical Analysis:
To find out relationship between Dependent Variable (Spiker’s
Performance) and Independent Variables (selected Anthropometric Characteristics),
product moment correlation and multiple correlations were applied. For the prophesy of Dependent Variable (Spiker’s Performance) on the basis of
Independent Variables (selected Anthropometric Characteristics), multiple
regression equation was applied.
Results and Findings:
Table – 1: Table showing Pearson Correlation Coefficient and
Significance (1-tailed) showing the relationship between Spiker’s Performance
and selected Anthropometric Characteristics
|
|
|
SP
|
SH
|
SW
|
SAL
|
SFAL
|
SUAL
|
SUAC
|
SWC
|
SHC
|
SLL
|
SLLL
|
STC
|
SCC
|
|
Pearson Correlation
Coefficient
|
SP
|
1.000
|
.659
|
.567
|
.666
|
.553
|
.646
|
.622
|
.595
|
.548
|
.582
|
.617
|
.552
|
.614
|
|
SH
|
.659
|
1.000
|
.906
|
.889
|
.817
|
.769
|
.903
|
.912
|
.834
|
.918
|
.943
|
.865
|
.858
|
|
SW
|
.567
|
.906
|
1.000
|
.800
|
.740
|
.687
|
.908
|
.826
|
.757
|
.854
|
.839
|
.809
|
.789
|
|
SAL
|
.666
|
.889
|
.800
|
1.00
|
.912
|
.875
|
.756
|
.881
|
.798
|
.835
|
.824
|
.874
|
.884
|
|
SFAL
|
.553
|
.817
|
.740
|
.912
|
1.000
|
.598
|
.704
|
.779
|
.717
|
.847
|
.743
|
.842
|
.860
|
|
SUAL
|
.646
|
.769
|
.687
|
.875
|
.598
|
1.000
|
.644
|
.799
|
.709
|
.628
|
.731
|
.711
|
.710
|
|
SUAC
|
.622
|
.903
|
.908
|
.756
|
.704
|
.644
|
1.000
|
.789
|
.735
|
.804
|
.851
|
.731
|
.732
|
|
SWC
|
.595
|
.912
|
.826
|
.881
|
.779
|
.799
|
.789
|
1.00
|
.899
|
.844
|
.882
|
.867
|
.840
|
|
SHC
|
.548
|
.834
|
.757
|
.798
|
.717
|
.709
|
.735
|
.899
|
1.000
|
.793
|
.822
|
.789
|
.809
|
|
SLL
|
.582
|
.918
|
.854
|
.835
|
.847
|
.628
|
.804
|
.844
|
.793
|
1.00
|
.838
|
.847
|
.881
|
|
SLLL
|
.617
|
.943
|
.839
|
.824
|
.743
|
.731
|
.851
|
.882
|
.822
|
.838
|
1.000
|
.813
|
.793
|
|
STC
|
.552
|
.865
|
.809
|
.874
|
.842
|
.711
|
.731
|
.867
|
.789
|
.847
|
.813
|
1.000
|
.887
|
|
SCC
|
.614
|
.858
|
.789
|
.884
|
.860
|
.710
|
.732
|
.840
|
.809
|
.881
|
.793
|
.887
|
1.000
|
|
Significance (1-tailed)
|
SP
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SH
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SW
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SAL
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SFAL
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SUAL
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SUAC
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SWC
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
.000
|
|
SHC
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
.000
|
|
SLL
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
.000
|
|
SLLL
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
.000
|
|
STC
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
.000
|
|
SCC
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.000
|
.
|
Table- 1 shows Pearson Correlation Coefficient and
Significance (1- tailed) in relation to Spiker’s Performance and selected
Anthropometric Characteristics. Significant relationship was found between SP
and SH (r = .659); SP and SW (r = .567); SP and SAL (r = .666); SP and SFAL (r
= .553); SP and SUAL (r = .646); SP and SUAC (r = .622); SP and SWC (r = .595);
SP and SHC (r = .548); SP and SLL (r = .582); SP and SLLL (r = .617); SP and
STC (r = .552); SP and SCC (r = .614); SH and SW (r = .906); SH and SAL (r =
.889); SH and SFAL (r = .817); SH and SUAL (r = .769); SH and SUAC (r = .903);
SH and SWC (r = .912); SH and SHC (r = .834); SH and SLL (r = .918); SH and
SLLL (r = .943); SH and STC (r = .552); SH and SCC (r = .858); SW and SAL (r =
.800); SW and SFAL (r = .740); SW and SUAL (r = .687); SW and SUAC (r = .908);
SW and SWC (r = .826); SW and SHC (r = .757); SW and SLL (r = .854); SW and
SLLL (r = .839); SW and STC (r = .809); SW and SCC (r = .789); SAL and SFAL (r
= .912); SAL and SUAL (r = .875); SAL and SUAC (r = .756); SAL and SWC (r =
.881); SAL and SHC (r = .798); SAL and SLL (r = .835); SAL and SLLL (r = .824);
SAL and STC (r = .874); SAL and SCC (r = .884); SFAL and SUAL (r = .598); SFAL
and SUAC (r = .704); SFAL and SWC (r = .779); SFAL and SHC (r = .717); SFAL and
SLL (r = .847); SFAL and SLLL (r = .743); SFAL and STC (r = .842); SFAL and SCC
(r = .860); SUAL and SUAC (r = .644); SUAL and SWC (r = .799); SUAL and SHC (r
= .709); SUAL and SLL (r = .628); SUAL and SLLL (r = .731); SUAL and STC (r = .711);
SUAL and SCC (r = .710); SUAC and SWC (r = .789); SUAC and SHC (r = .735); SUAC
and SLL (r = .804); SUAC and SLLL (r = .851); SUAC and STC (r = 731); SUAC and
SCC (r = .732); SWC and SHC (r = .899); SWC and SLL (r = .844); SWC and SLLL (r
= .882); SWC and STC (r = .867); SWC and SCC (r = .840); SHC and SLL (r =
.793); SHC and SLLL (r = .822); SHC and STC (r = .789); SHC and SCC (r = .809);
SLL and SLLL (r = .838); SLL and STC (r = .847); SLL and SCC (r = .881); SLLL
and STC (r = .813); SLLL and SCC (r = .793) and STC and SCC (r = .887)
prospectively.
Table- 2: Table showing residual statistics in
relation to the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
| Minimum
|
Maximum
|
Mean
|
Standard Deviation
|
|
Predicted
Value
|
16.8593
|
24.4574
|
20.5067
|
2.06141
|
|
Residual
|
-5.73647
|
5.63883
|
.00000
|
2.16324
|
|
Standardized
Predicted Value
|
-1.769
|
1.917
|
.000
|
1.000
|
|
Standardized
Residual
|
-2.616
|
2.571
|
.000
|
.986
|
|
a.
Dependent Variable: SP
|
Table- 2 shows residual statistics in relation to
the establishment of Models for the prognostication of Spiker’s Performance on
the basis of selected Anthropometric Characteristics. In this table value of
standardized residual shows the outliers of the residual. In assumption of
application of multiple regression, there should not be any outliers of the
residuals and the minimum value of standardized residuals should not be less -3
and the maximum value should not be above +3. In this table, the minimum value
of standardized residual is -2.616 and the maximum value of standardized
residual is 2.571. This proved that the standardized residuals lie in the
expected range from -3 to +3. It is concluded that there is no outliers in the
residuals.
Figure- 1: Figure showing Mean, Standard Deviation
and normal curve of residuals in relation to the establishment of Models for
the prophesy of Spiker’s Performance on the basis of selected Anthropometric
Characteristics
Figure- 1 shows Mean, Standard
Deviation and normal curve of residuals in relation to the establishment of
Models for the prognostication of Spiker’s Performance on the basis of selected
Anthropometric Characteristics. As per another assumption of application of
multiple regression, the residuals should be normally distributed with mean 0
and Standard Deviation 1. The figure shows the normality of residuals, mean is
almost 0 and Standard Deviation is 0.986 (near to one), so the assumption, that
residuals should be normally distributed with mean 0 and Standard Deviation 1is
also fulfilled.
Figure- 2: Figure showing Normal P-P Plot in
relation to the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
Figure 2 shows the Normal P-P Plot in relation to
the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics. In this figure, a standard line is generated.
In case of the normality of residuals, all the scores should be scattered near
to this line. In this figure all the scores are scattered near to this line,
this proved that residuals are normally distributed.
Figure- 3: Figure showing Constant Variance of residuals in relation to the
establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
Figure shows Constant Variance of residuals in
relation to the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics. The figure shows no clear-cut pattern, this
shows that there is constant variance of residuals. This proves this assumption
also fulfilled.
Table- 3: Table showing Model Summary in relation
to the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
|
Established
Models
|
R- Value
|
R Square- Value
|
Adjusted R Square Value
|
Standard
Error of the Estimate Value
|
Durbin - Watson Value
|
|
1
|
.666a
|
.443
|
.436
|
2.24462
|
1.556
|
|
2
|
.690b
|
.476
|
.461
|
2.19308
|
|
a.
Predictors: (Constant), SAL
|
|
|
b.
Predictors: (Constant), SAL, SUAC
|
|
c.
Dependent Variable: SP
|
Table- 3 shows the Model Summary in relation to the
establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics. For the purpose, two models are established.
First model is established on the basis of Spiker’s Arm Length and second model
is established by Indian Spiker’s Arm Length and Spiker’s Upper Arm
Circumference. This table also shows Durbin - Watson Value. This value is shows
that there is no strong positive and no strong negative relationship. This
value away from 0 and 4 and the expected value is near to 2. So this assumption
also is fulfilled.
Findings related to model- 1: In case of model 1, the R- value of .666 shows the
coefficient of correlation between Spiker’s Performance and Spiker’s Arm
Length. The value of R Square .443 shows that 44% Spiker’s Performance is
explained by Spiker’s Arm Length.
Findings related to model- 2: In case of model 2, the R- value of .690 shows the
coefficient of correlation between Spiker’s Performance and Spiker’s Arm Length
& Spiker’s Upper Arm Circumference. The value of Adjusted R Square .461
shows that 46% Spiker’s Performance is explained by Spiker’s Arm Length &
Spiker’s Upper Arm Circumference.
Table 4: Table showing results of Analysis of Variance in relation to the
establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
|
Models
|
Sum of Squares value
|
Degree of freedom
|
Mean Square value
|
F- Value
|
Significance
|
|
1
|
Regression
|
292.948
|
1
|
292.948
|
58.144
|
.000a
|
|
Residual
|
367.798
|
73
|
5.038
|
|
Total
|
660.747
|
74
|
|
|
2
|
Regression
|
314.455
|
2
|
157.228
|
32.690
|
.000b
|
|
Residual
|
346.291
|
72
|
4.810
|
|
Total
|
660.747
|
74
|
|
|
a.
Predictors: (Constant), SAL
|
|
b.
Predictors: (Constant), SAL, SUAC
|
|
c.
Dependent Variable: SP
|
Table- 4 shows results of Analysis of Variance in relation
to the establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics. The result of analysis of variance talks about
the utility of established regression models. If the value of established model
is significant in that case, the established model has a utility. In both
models, the F value of 58.144 and 32.690 are found significant. This proved
that the established models are useful and the result may be generalized.
Table- 5: Table showing results of related to
establishment of Models for the prophesy of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
|
Coefficientsa
|
|
Models
|
Unstandardized Coefficients
|
Standardized Coefficients
|
T-Value
|
Significance
|
95% Confidence Interval for B
|
Correlations
|
Collinearity Statistics
|
|
B
|
Standard Error
|
Beta
|
Lower Bound
|
Upper Bound
|
Zero-order
|
Partial
|
Part
|
Tolerance
|
VIF
|
|
1
|
Constant
|
-35.586
|
7.361
|
|
-4.835
|
.000
|
-50.256
|
-20.916
|
|
|
|
|
|
|
SAL
|
.667
|
.088
|
.666
|
7.625
|
.000
|
.493
|
.842
|
.666
|
.666
|
.666
|
1.000
|
1.000
|
|
2
|
Constant
|
-23.512
|
9.183
|
|
-2.560
|
.013
|
-41.818
|
-5.206
|
|
|
|
|
|
|
SAL
|
.458
|
.131
|
.457
|
3.509
|
.001
|
.198
|
.719
|
.666
|
.382
|
.299
|
.428
|
2.335
|
|
SUAC
|
.210
|
.099
|
.276
|
2.115
|
.038
|
.012
|
.407
|
.622
|
.242
|
.180
|
.428
|
2.335
|
|
a.
Dependent Variable: SP
|
Table- 5 shows results of related to establishment
of Models for the prophesy of Spiker’s Performance on the basis of selected Anthropometric
Characteristics.
Findings related to model- 1:
In case of model one, the value of
constant is found -35.586 and B- value of Spiker’s Arm Length is found .667.
Spiker’s
Performance = -35.586 +.667 X Spiker’s Arm Length
Findings related to model- 2:
In case of model two, the value of
constant is found -23.512 and B- value of Spiker’s Arm Length is found .458
& the value of Spiker’s Upper Arm Circumference is found .210.
Spiker’s Performance = -23.512 +.458 X
Spiker’s Arm Length + .210 X Spiker’s Upper Arm Circumference
Table- 6: Table
showing details of excluded variables in relation to the establishment of Models
for the prognostication of Spiker’s Performance on the basis of selected
Anthropometric Characteristics
|
Models
|
Beta In
|
T- Value
|
Significance
|
Partial Correlation
|
Collinearity Statistics
|
|
Tolerance
|
VIF
|
Minimum Tolerance
|
|
1
|
SH
|
.321a
|
1.708
|
.092
|
.197
|
.210
|
4.757
|
.210
|
|
SW
|
.095a
|
.648
|
.519
|
.076
|
.361
|
2.773
|
.361
|
|
SFAL
|
-.322a
|
-1.528
|
.131
|
-.177
|
.169
|
5.911
|
.169
|
|
SUAL
|
.273a
|
1.528
|
.131
|
.177
|
.235
|
4.252
|
.235
|
|
SUAC
|
.276a
|
2.115
|
.038
|
.242
|
.428
|
2.335
|
.428
|
|
SWC
|
.036a
|
.195
|
.846
|
.023
|
.224
|
4.469
|
.224
|
|
SHC
|
.047a
|
.322
|
.748
|
.038
|
.364
|
2.750
|
.364
|
|
SLL
|
.086a
|
.541
|
.590
|
.064
|
.303
|
3.298
|
.303
|
|
SLLL
|
.214a
|
1.395
|
.167
|
.162
|
.320
|
3.122
|
.320
|
|
STC
|
-.128a
|
-.707
|
.482
|
-.083
|
.236
|
4.237
|
.236
|
|
SCC
|
.114a
|
.606
|
.547
|
.071
|
.218
|
4.583
|
.218
|
|
2
|
SH
|
.044b
|
.150
|
.882
|
.018
|
.085
|
11.715
|
.085
|
|
SW
|
-.342b
|
-1.542
|
.128
|
-.180
|
.145
|
6.895
|
.145
|
|
AFAL
|
-.346b
|
-1.689
|
.096
|
-.197
|
.169
|
5.929
|
.143
|
|
SUALK
|
.294b
|
1.689
|
.096
|
.197
|
.234
|
4.265
|
.172
|
|
SWC
|
-.137b
|
-.694
|
.490
|
-.082
|
.188
|
5.308
|
.188
|
|
SHC
|
-.059b
|
-.394
|
.695
|
-.047
|
.323
|
3.095
|
.301
|
|
SLL
|
-.093b
|
-.522
|
.603
|
-.062
|
.233
|
4.289
|
.233
|
|
SLLL
|
.029b
|
.151
|
.880
|
.018
|
.200
|
5.010
|
.200
|
|
STC
|
-.220b
|
-1.228
|
.224
|
-.144
|
.225
|
4.454
|
.207
|
|
SCC
|
.035b
|
.189
|
.851
|
.022
|
.209
|
4.787
|
.193
|
|
a.
Predictors in the Model: (Constant), SAL
|
|
b.
Predictors in the Model: (Constant), SAL, SUAC
|
|
c.
Dependent Variable: SP
|
Table- 6 shows details of excluded variables in relation to the
establishment of Models for the prognostication of Spiker’s Performance on the
basis of selected Anthropometric Characteristics. In model one, the excluded
variables are SH, SW, SFAL, SUAL, SUAC, SWC, SHC, SLL, SLLL, STC, SCC and in
second model the excluded variables are SH, SW, SFAL, SUAL, SWC, SHC, SLL,
SLLL, STC and SCC.
3.
Discussion:
Similar type of study was conducted to
prognosticate setter’s performance on the basis of anthropometric
characteristics and two models have been established by the authors (Singh, M.
K and Choudhary, R.). Another study was conducted to predict Libros performance
on the basis of anthropometric characteristics and three models have been
established by the authors (Singh, M. K, Patel, R. K. and Choudhary, R.). Both
the positions i. e. Setter and Libro belongs to the same game (Volleyball).
Studies shows that different type of body dimensions are required to excel at a
specific playing position. This proves that, specific regression model should
be used to estimate player’s performance at specific position.
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