Difference between revisions of "Manuals/calci/CHITEST"
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Revision as of 00:04, 26 November 2013
- is the array of observed values
- is the array of expected values
Description
- This function gives the the value from the chi-squared distribution. i.e it calculates statistic and degrees of freedom, then calls CHIDIST.
The conditions of test is
The table should be 2x2 or more than 2x2 Each observations should not be dependent All expected values should be 10 or greater. Each cell has an expected frequency of at least five.
- The test first calculates a statistic using the formula:
- is the array of the observed values in a given set of values
- observed and expected must have the same number of rows and columns and there must be atleast 2 values in each.
- A low result of is an indicator of independence.
- From the formula of we will get is always positive or 0.
- 0 only if for each and .
- CHITEST uses the distribution with the number of Degrees of Freedom df.
where and . If and , then or if and , then . If then this function will give the error result
Examples
A student investigated the chance of getting viral fever for a period of a school that took vitamin tablets every day. A student investigated whether taking vitamin tablets every day for a school term affected peoples chances of getting a Viral fever during the period. The total number of students 880. In that 639 students didn't get viral fever and 241 students got fever .But the expected ratio is 1:3. Answer:
If the ratio is 1:3 and the total number of observed individuals is 880, then the expected numerical values should be 660 didn't get and 220 students will get that fever.
Didn't get fever Get fever
observed 639 241 values
Expected values 660 220
No Fever | Get Fever | |
---|---|---|
Observed Values | 639 | 241 |
Expected Values | 660 | 220 |
No Fever | Get Fever | |
---|---|---|
Observed Values | 639 | 241 |
Expected Values | 660 | 220 |
(oi-ei)^2/ei 0.668 2
The x^2 value is 2.668
Now df=(r-1)(c-1)=(2-1)(2-1)=1
From the chisquared distribution probability table with df is 1 for the X^2 value 2.668 is 0.10.
i.e CHITEST(or,er)=0.10"
Let’s see an example B C 45 38 10 23 12 26 40.5 49.36 19.56 16.44 17.05 17.41 CHITEST (a, b) i.e. =CHITEST (B2; C4, B5:C7) is 0.003