Casio 3.04 p :, (1), (3), (4), (7), (8), df :, Contrib, p-value, Example, Χ2 value, Contrib :, Χ2 GOF Test, (O1 − E1 )2, (O2 − E2 )2, (Ok − Ek )2, Description:

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Tests

Χ2 GOF TestMenu: [Test]-[Χ2GOF Test]

Description: This command tests whether the frequency of sample data fits a certain distribution. For example, it can be used to determine conformance with normal distribution or binomial distribution.

k(Oi − Ei )2

2 =

i	Ei
Contrib =		(O1 − E1 )2	(O2 − E2 )2	...	(Ok − Ek )2
		E1	E2		Ek

Oi : The i-th element of the observed listEi : The i-th element of the expected list

Definition of Terms

Observed list : name of list containing observed counts (all cells positive integers)

Expected list : name of list that is for saving expected frequencydf :degrees of freedom

Calculation Result Output

Χ2 :	Χ2 value
p :	p-value
df :	degrees of freedom
Contrib :	name of list specifying the contribution of each observed count

Example

list1 = {1,2,3}, list2 = {4,5,6}, df = 1

•Statistics Wizard Operation

(1)

(2)Input the list1 and list2.

(3)/

(4)On the menu bar, tap [Calc] and then [Test].

(5)Select [Χ2 GOF Test] and then tap [Next >>].(6)Select List(1) [list1], List(2) [list2] and input df 1.

(7)Tap [Next >>].

(8)To display the graph, tap .

SProgram, eActivity or Main Application

Command: ChiGOFTest:

Command Syntax

Observed list, Expected list, df

Input Example:

ChiGOFTest list1, list2, 1

Tip

•The calculation results Χ2, p, df, and Contrib are stored in the system variables named “Χ2value”, “prob”, “df”, and “Contrib” respectively.

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