PRACTICAL EXERCISE E RELATIONSHIPS BETWEEN VARIABLES:CHI S

MATLAB: An Introduction with Applications
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PRACTICAL EXERCISE 15
EXAMINING THE RELATIONSHIPS BETWEEN VARIABLES:CHI SQUARED TEST (1)
A study has been made of five different smallholder sites to find out the size of land
holdings. The results of the study are as follows:
Observed Frequencies of Village Smallholder Plots
Village Sites
A
B
C
D
E
2.
There is an apparent difference between the size of village plots on the five sites.
Find out if the difference is statistically significant using the chi-squared test and at
what level it is significant. Show all your workings.
1. State the problem negatively as a null hypothesis
State the hypothesis.
Set the rejection level of the null hypothesis.
Calculate the expected values if the null hypothesis were correct.
Calculate X².
3.
4.
5.
6.
Area (km²)
9
7
12
3
10
7.
Total Number of Village Plots
16
25
39
20
17
Work out the number of degrees of freedom ie the maximum number of
observations that can vary without automatically determining the rest of the
observations.
Use the probability table to determine the probability when you have X² with (n-1)
degrees of freedom.
Transcribed Image Text:PRACTICAL EXERCISE 15 EXAMINING THE RELATIONSHIPS BETWEEN VARIABLES:CHI SQUARED TEST (1) A study has been made of five different smallholder sites to find out the size of land holdings. The results of the study are as follows: Observed Frequencies of Village Smallholder Plots Village Sites A B C D E 2. There is an apparent difference between the size of village plots on the five sites. Find out if the difference is statistically significant using the chi-squared test and at what level it is significant. Show all your workings. 1. State the problem negatively as a null hypothesis State the hypothesis. Set the rejection level of the null hypothesis. Calculate the expected values if the null hypothesis were correct. Calculate X². 3. 4. 5. 6. Area (km²) 9 7 12 3 10 7. Total Number of Village Plots 16 25 39 20 17 Work out the number of degrees of freedom ie the maximum number of observations that can vary without automatically determining the rest of the observations. Use the probability table to determine the probability when you have X² with (n-1) degrees of freedom.
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