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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
.
a
: regression constant term (
y
-intercept)
b
: regression coefficient (slope)
n
: sample size (
n
>
3)
r
: correlation coefficient
r
2
: 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
r
2
: coefficient of determination
7-9-12
Tests
b =
Σ
( x – o)( y – p)
i=1
n
Σ
(x – o)
2
i=1
n
a = p – b
.
o t = r
n – 2
1 – r
2