Manuals/calci/CHITEST

CHITEST (a, b)

Where ‘a ‘is the observations to test against the expected values and ‘b’ is the ratio of the product of row totals and column totals to the grand total.

• This function returns the test for independence.
• Sometimes CHITEST returns the error value, when ‘a’ and ‘b’ have a different number of data points.
• It is calculated using the formula:

Where:
Aij = actual frequency in the i-th row, j-th column
Eij = expected frequency in the i-th row, j-th column

r = number or rows and c = number of columns

χ2 is always positive or 0, and is 0 only if Aij = Eij for every i, j.

	Column1	Column2	Column3	Column4
Row1	45	38	0.000313
Row2	10	23
Row3	12	26
Row4	40.5	49.36
Row5	19.56	16.44
Row6	17.05	17.41

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

"This function gives the Average for given set numbers. Average means sum of all the given elements is divided by Number of the given elements.It is also called Arithmetic mean. i.e.If n numbers are given and each number is denoted by ai, where i=1 to n, then A.M= 1/n Summation i=1 to n (ai)= 1/n(a1+a2+.....+an). In this function N1,N2,... are either it can be numbers,arrays ,references of cells or we can enter the logical values directly. This function will show .the result as Error ,when the numbers are error values or text that cannot change in to numbers. Also if the distribution is symmetric, then we can use this function to find the central tendency. The three most common measures of central tendency are: A.M, Median,& Mode. A.M: It is calculating by adding the given set of numbers and divided by the count of the given set of numbers. E.g:Average of 2,4,2,7,2,3 and 5 is 3.6 Median: It is the middle number of a sorted list(Ascending order) of numbers. E.g:The median of 2,2,2,3,4,5,7 is 3 Mode: It is the most frequently repeated number in a given set of numbers. E.g.The mode of 2,2,2,3,4,5 and 7 is 2"