This is the Data that we have obtained from our participants .
Variable
|
Data type
|
Length of foot
|
Scale
|
Length of forearm
|
Scale
|
The proposed statistical technique to test for H0 is Pearson's R as it involves in finding the relationship between two scale data type.
SCATTER PLOT
We will first examine the scatter plot to ascertain if the relationship is linear.
Fig1:Scatter plot |
The scatter plot appears to follow a general positive linear trend.There is no violation of the linearity assumption.
CROSSTABS
RESULTS:
Symmetric Measures Value Asymp. Std. Errora Approx. Tb Approx. Sig. Interval by Interval Pearson's R .593 .159 3.893 .001c Ordinal by Ordinal Spearman Correlation .614 .158 4.113 .000c N of Valid Cases 30 a. Not assuming the null hypothesis.b. Using the asymptotic standard error assuming the null hypothesis.c. Based on normal approximation.
There is positive,moderate and significant association between the length of the foot and the length of the forearm. (r=0.593, p<0.05, N=30) Since P<0.05, we reject H0 and conclude that there is a positive relationship between the length of the foot and the length of the forearm.
After knowing that there is a positive relationship between the length of the foot and the length of the forearm, we will now determine whether this relationship is the same for both males and females.
CROSSTABS ( With gender)
Fig 2: Scatter plot taking into account sex
CROSSTABS
Symmetric Measures
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What is your gender?
|
Value
|
Asymp. Std. Errora
|
Approx. Tb
|
Approx. Sig.
|
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female
|
Interval by Interval
|
Pearson's R
|
.405
|
.239
|
1.468
|
.170c
|
Ordinal by Ordinal
|
Spearman Correlation
|
.247
|
.298
|
.844
|
.417c
|
|
N of Valid Cases
|
13
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male
|
Interval by Interval
|
Pearson's R
|
.485
|
.267
|
2.147
|
.049c
|
Ordinal by Ordinal
|
Spearman Correlation
|
.675
|
.168
|
3.545
|
.003c
|
|
N of Valid Cases
|
17
|
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Total
|
Interval by Interval
|
Pearson's R
|
.593
|
.159
|
3.893
|
.001c
|
Ordinal by Ordinal
|
Spearman Correlation
|
.614
|
.158
|
4.113
|
.000c
|
|
N of Valid Cases
|
30
|
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a. Not assuming the null
hypothesis.
b. Using the asymptotic standard
error assuming the null hypothesis.
c. Based on normal approximation.
RESULT:
There is a positive,moderate and significant associations between the length of foot and the length of forearm for male but not for female. The association for male is r=0.485,p=0.049<0.05,n=17. While the association for female is r=0.405, p=0.170>0.05 , N=13.
For male, since P<0.05 , we reject H0 and conclude that there is a positive relationship between the length of foot and length of forearm.
For female, since P>0.05 , we do not reject H0 and conclude that there is no positive relationship between the length of the foot and forearm .
However, due to our small sample size with male and female participants <30 , our results may not be accurate.
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