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==Examples==
==Examples==
A student investigated the chance of getting viral fever in a school for a period that took vitamin tablets every day. 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<br/>
#'''Example 1'''
'''Answer'''
{| class="wikitable"
|+Spreadsheet
|-
! !! A !! B !! C !! D!! E
|-
! 1
| 5 || 7 || 8 || ||
|-
! 2
| 7 || 4 || || ||
|-
! 3
| 8 || || || ||
|-
! 4
| 4 ||-5 || 9 || ||
|-
! 5
| || || || ||
|}
'''From the above table values:'''
{| class="wikitable"
|+ =MMULT(3,A1:A3)
|-
| 15
| 21
| 24
|}
{| class="wikitable"
|+=MMULT(6,A4:C4)
|-
| 24
| -30
| 54
|}
{| class="wikitable" style="width:50%"
#'''Example 2'''
|-
{| class="wikitable"
|+Matrix A
|-
|-
| 7 || 5
| 639
| 241
|-
|-
| 2 || 3
| 660
| 220
|-
|-
| 6 || 0
| 0.668
|-
| 2
| 9 || 8
|}
|}
*The <math>\chi^2</math> value is 2.668
{| class="wikitable"
*Now <math>df=(r-1)(c-1) = (2-1)(2-1) = 1 </math>
|+Matrix B
*From the Chi Squared Distribution probability table with <math>df</math> is 1, the <math>\chi^2</math> value of 2.668 is 0.10.<br/>
|-
| 8 || -4 ||11
|-
| 2 || 7 || 5
|}
*Here Matrix A is of order 4x2 and Matrix B is of order 2x3.
*So the Product Matrix is of order 4x3. i.e
#'''1st Row''' 7*8+5*2 = 66 ; 7*(-4)+5*7 = 7 ; 7*11+5*5 = 102
#'''2nd Row''' 2*8+3*2 = 22 ; 2*(-4)+3*7 = 13 ; 2*11+3*5 = 37 and so on
==See Also==
==See Also==