Spearmans Rank Correlation Essay Example for Free

Spearmans Rank Correlation Essay I can therefore predict that if a student that spends less than 20 hours in front of the TV can have a KS2 Total of 16. In addition, a student that has a KS2 Total of 17 could spend 40 hours in front of the television. HYPOTHESIS 3 This hypothesis is comparing the IQ of boys and girls against their KS2 Total. This means that I am trying to carry out an investigation that is based on the better performer at school and this is either boys or girls. My hypothesis states that boys perform better that girls at school but I will confirm that with the use of scatter diagrams and Spearmans Rank Correlation. This graph is comparing the IQ of females against their KS2 Total. From the above graph, I can see that there is a positive correlation and this therefore disproves my hypothesis because I did not expect girls to do very well in their KS2 exams. Nevertheless, to be very confident with my hypothesis, I will have to carry out a Spearmans Rank Correlation Test to check whether these two factors actually work with each other. I have drawn a line of best fit and this gives me a rather accurate correlation of the comparisons that I am carrying out. This is Spearmans Rank Number. Since my data was too much, I print-screened the important part, which was the actual calculations itself. When I carried out Spearmans Rank Correlation, I got a strong positive correlation, which meant that girls with a high IQ would also have a high KS2 Total. This also tells me that I interpreted my scatter graph rightly because I saw that there was a strong positive correlation. This graph is comparing the IQ of males against their KS2 Total. From the above graph, I can see that there is a strong positive correlation and this therefore proves my hypothesis because I did expect boys to do very well in their KS2 exams. Significantly, to be very confident with my hypothesis, I will have to carry out a Spearmans Rank Correlation Test to check whether these two factors actually work with each other. I have drawn a line of best fit and this gives me a rather accurate correlation of the comparisons that I am carrying out. This is Spearmans Rank Number. Since my data was too much, I print-screened the important part, which was the actual calculations itself. When I carried out Spearmans Rank Correlation, I got a strong positive correlation, which meant that boys who have a high IQ would also have a high KS2 Total. This also tells me that I have interpreted my scatter graph rightly because I saw that there was a strong positive correlation. After carrying out the last hypothesis, I can finally conclude that both boys and girls perform very well at school. Notably, I noticed that girls had a correlation of 0. 9 while boys had 0. 8. This also tells me that although they both perform well at school; girls have that slight advantage over the boys. STANDARD DEVIATION I will be using this formula to find the Standard Deviation of my data. This is because since my data is not in a grouped format, I will not be able to use the formula for grouped data but can use the formula for ungrouped data. I have decided to find the Standard Deviation of IQ because I feel that that has an effect on KS2 Totals. This is the Standard Deviation of my data for the IQ of females. As you can see from the print-screened data, I have carried out the steps to calculate the deviation of IQ in Mayfield High School. When calculating, I found out the average IQ of females in the school was 100. 275 and that is approximately 100. After more calculations, I found out that the Standard Deviation of IQ for females in the school is 10. This therefore meant that girls in the school have a high IQ and that they would have few students who are outside the outlier range (upper warning limit and lower warning limit). This is the Standard Deviation of my data for the IQ of females. As you can see from the print-screened data, I have carried out the steps to calculate the deviation of IQ in Mayfield High School. When calculating, I found out the average IQ of males in the school was 13726. 803 and that is approximately 13727. After more calculations, I found out that the Standard Deviation of IQ for males in the school is 19. This therefore meant that boys in the school have a high IQ and that they would have more students that the girls who are outside the outlier range (upper warning limit and lower warning limit). PLAN A I will draw a scatter graph to display my results. The reason why I have chosen this is that I expect it to show me the correlation between IQ, Average number of TV watched and KS2 Total. When I had completed my scatter graph, I noticed that there was a strong-positive correlation. I drew a line of best fit and noticed that it passed through the Upper Quartile IQ. In addition, I noticed a few outliers. This occurred when a student had a high IQ but had a low KS2 Total. PLAN B I will calculate the correlation by using Spearmans Rank Correlation. The reason why I am doing this is that it will enable me to see what type of correlation there is between IQ, KS2 Total and Average TV watched in a week. CONCLUSION I will say that this investigation does follow my hypothesis apart from me having a few outliers. Moreover, I will say that the outliers that I got did not make much difference to the results that I got. In addition, I think that I could have tried other methods such as using samples such as a simple random sample, Stem and Leaf Diagrams or cluster sampling that involves selecting the sample units in groups The limitations that I feel occurred during the process when I was carrying out this coursework is that there was not much time available to me so I just used two different ways to test out my hypothesis rather that using maybe three ways. In addition, I can say that if I had more time, I could have used more data and have varied the samples so that my results could be more accurate. I could also collect my own data because I can ensure reliability and have a varied source of data from different schools. This would help me because I can see if my hypothesis affects all the schools or some schools. If there were to be any more work that I would add to this work, I would use a variety of methods to test out my hypothesis.