Casio FXCP400 Test, Test], Linear Regression, n: sample size (nt3), and perform a χ2 test, To specify observed matrix: a, Chapter 7: Statistics Application

Linear Regression t Test .... [Test] - [Linear Reg t-Test] .....  = ( − 2)/(1 − 2)

 = (− o)(− p)/ (− o)2		 = p − o
	

n: sample size (nt3)

Tests the linear relationship between the paired variables (x, y). The method of least squares is used to determine a and b, which are the coefficients of the regression formula y = a + bx. The p-value is the probability of the sample regression slope (b) provided that the null hypothesis is true,  = 0. The t distribution is used for the linear regression t test.

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Test (Chi-square Test) .... [Test] - [χ

Test] ....

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Tests the independence of two categorical variables arranged in matrix form. The χ2 test for independence compares the observed matrix to the expected theoretical matrix. The χ2 distribution is used for the χ2 test.

•The minimum size of the matrix is 1 × 2. An error occurs if the matrix has only one column.

•The result of the expected frequency calculation is stored in the system variable named “Expected”.

	To specify observed matrix: a =					11	68	3	and perform a χ2 test
0704
					9		23	5
χ2 GOF Test (Chi-square Goodness-of-Fit Test) .... [Test] - [χ2 GOF Test]
		("−	# )	2						("% − #% )	2		("& − #& )	2		(" − # )	2
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Oi: The i-th element of the observed list, Ei: The i-th element of the expected list

Tests whether the observed count of sample data fits a certain distribution. For example, it can be used to determine conformance with normal distribution or binomial distribution.

Tip: The calculation results χ2, p, df, and Contrib are stored in the system variables named “χ2value”, “prob”, “df”, and “Contrib” respectively.

0705 To specify observed list: list1 = {1,2,3}, expected list: list2 = {4,5,6}, and df = 1, and then perform a χ2 test

2-SampleF Test .... [Test] - [Two-Sample F-Test] .....  = s12 /s22

Tests the ratio between sample variances of two independent random samples. The F distribution is used for the 2-Sample F test.

One-Way ANOVA (analysis of variance) .... [Test] - [One-Way ANOVA]

Tests the hypothesis that the population means of multiple populations are equal. It compares the mean of one or more groups based on one independent variable or factor.

0706 To use Factor A data of list1 = {7,4,6,6,5}, list2 = {6,5,5,8,7}, and list3 = {4,7,6,7,6}, and perform One- Way ANOVA

Tip

•To perform One-Way ANOVA using the wizard, you need to create up to six sets of list data (Factor A level 1 data, level 2 data, etc.). Specify the list data on the wizard screen and perform the calculation.

•One-Way ANOVA can also be performed using a program command (see the example 1209 under “Including Statistical Graphing and Calculation Functions in a Program” on page 218). To perform One-Way ANOVA using a program command, you need to create a “DependentList” that includes all Factor A level data (level1, level2, etc.) and a “FactorList(A)” that specifies the levels for each of the blocks of data in the DependentList. If you use the program command to perform the same test as shown in the example above, the two lists would be as shown below.

DependentList: {7,4,6,6,5,6,5,5,8,7,4,7,6,7,6} ... (All level 1, level 2, and level 3 data)

FactorList(A): {1,1,1,1,1,2,2,2,2,2,3,3,3,3,3} ... (Levels of each block of data)

Chapter 7: Statistics Application 142