7-9-12

Tests

Input Example:

Syntax 1 (list format)

TwoSampleTTest “<”,list1,list2,1,1,Off

Syntax 2 (parameter format)

TwoSampleTTest “≠”,107.5,0.78,10,97.5,0.65,12,Off

Linear Regression t Test

Menu: [Test]-[Linear Reg TTest]

Description: This command treats two groups of data as paired variables (x, y). The method of least squares is used to determine the most appropriate pair for the a, b coefficients of the regression formula y = a + b.x. It also determines the correlation coefficient and t value, and calculates the strength of the relationship between x and y.

 

n

 

 

 

 

 

Σ( x – o)( y – p)

 

 

 

 

b =a = p – b.ot = r

n – 2

i=1

n

 

1 – r

2

 

Σ(x – o)2

 

 

 

 

i=1

 

 

 

 

a : regression constant term (y-intercept)

b : regression coefficient (slope)

n : sample size (n >3)

r : correlation coefficient

r2 : coefficient of determination

Definition of Terms

β & ρ condition : test conditions (“≠” specifies two-tail test, “<” specifies lower one-

 

 

tail test, “>” specifies upper one-tail test.)

XList :

x-data list

YList :

y-data list

Freq :

frequency (1 or list name)

Calculation Result Output

 

β ≠ 0 & ρ ≠ 0 :

test condition

t :

t value

p

:

p-value

df :

degrees of freedom

a

:

regression constant term (y-intercept)

b

:

regression coefficient (slope)

s :

standard error of estimation

r :

correlation coefficient

r2 :

coefficient of determination

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