Blog Archive

Friday 12 July 2013

STATISTICAL ANALYSIS AND RESULTS





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

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.
  
RESULTS:
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
What is your gender?
Value
Asymp. Std. Errora
Approx. Tb
Approx. Sig.
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



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



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



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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