Analysing With One-Way Layout Method - Sharp EL-9650 User Manual

Analysing with One-way Layout Method

Use the one-way layout method to verify whether there is a relation to the results
achieved based on one condition. Analysis of variance is carried out with this method.
Calculation
Analysis of variance chart of one-way layout method
Sum of squares (S)
Factor S = [A] - [X]
A
Error S = [AS] - [A]
E
Total S = [AS] - [X]
T
FLOWCHART
Start
LOOP2
Entry of number of levels
and repeat frequency
Declaration of one
variable statistic
LOOP1
Entry of data
Accumulation of data
Accumulation of
square of data
K = K + 1
Y
(N+1)>K
N
Display of X
(sum of levels)
Accumulation
2
of ( X)
S = S + 1
Y
(A+1)>S
N
Calculation of X,Y and Z
Calculation and display
of sum of squares
Calculation and display
of degree of freedom
Calculation and display
of variance
Calculation and display
of variance ratio
End
22
EL-9650/9600c/9450/9400 Graphing Calculator
Degree of freedom ( ) Variance (V)
= A - 1 V = S
A A A
= A (N- 1) V = S
E E E
= AN - 1
T
Enter no. of levels and repeated
frequency.
One variable statistic
(Stat X) declared.
Data and square of data
accumulated.
Judgment of repeated frequency.
X (sum of levels) displayed.
X obtained with
statistics feature.
Square of X accumulated.
Repeated frequency corresponding
to no. of levels judged.
X, Y and Z calculated.
Sum of squares (E, M, P)
calculated and displayed.
Sum of degree of freedom
(Q, R, D) calculated and
displayed.
Variance (V, U) calculated and displayed.
Variance ratio (F) calculated and displayed.
[X] = (
[A] = i ( j Xij)
Variance ratio (F)
[AS] = i j (Xij)
F = V V
A A A E A : number of levels
E N: repeated frequency
X : number of data
PROGRAMME LIST
Title : VARIANCE
Rem INPUT W/N
Print "Input LEVEL C
Input L Rem SUM OF SQUARES
L A Y-X
Print "Input TIMES Z-Y
Input T Z-X
T N Print "SUM OF SQUARES
0 W Print E
0 B Print "ERROR SUM OF SQUARES
0 C Print M
1 S Wait
Label LOOP2 Print "TOTAL SUM OF SQUARES
N dim(L1) Print P
1 K Wait
Label LOOP1 Rem DEGREES OF FREEDOM
ClrT A-1
S L A (N-1)
K T A N-1
Print "Input DATA Print "DEGREES OF FREEDOM
Print "LEVEL Print Q
Print L Print "DEGREES OF FREEDOM
Print "TIME Print R
Print T Wait
Input I Print "SUM OF DEGREES OF FREEDOM
I L1(K) Print D
B+I B Wait
2
C+I C Rem VARIANCE
K+1 K E/Q
If (N+1)>K Goto LOOP1 M/R
1_Stats L1 Print "VARIANCE
x J Print V
Print " x= Print "VARIANCE OF ERRORS
Print J Print U
Wait Wait
2
W+( x) W Rem VARIANCE RATIO
S+1 S V/U
If (A+1)>S Goto LOOP2 Print "VARIANCE RATIO
Rem CALCULATE Print F
2
B /A/N X End
2
Xij) AN
2
N
2
(STAT MODE)
Y
Z
E
M
P
Q
R
D
ABOUT ERRORS
V
U
F