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EL-9900 Graphing Calculator
A
nalysing 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
FLOWCHART PROGRAMME LIST
(STAT MODE)
Entry of number of levels
and repeat frequency
Start
End
Enter no. of levels and repeated
frequency.
One variable statistic
(Stat X) declared.
Data and square of data
accumulated.
Judgment of repeated frequency
ΣX (sum of levels) displayed.
ΣX obtained with
statistics feature.
Square of ΣX 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.
Rem INPUT
Print "Input LEVEL
Input L
L A
Print "Input TIMES
Input T
T N
0 W
0 B
0 C
For S, 1, A, 1
N dim(L1)
For K, 1, N, 1
ClrT
S L
K T
Print "Input DATA
Print "LEVEL
Print L
Print "TIME
Print T
Input I
I L1(K)
B+I B
C+I
2
C
NEXT
1_Stats L1
Σx J
Print "Σx=
Print J
Wait
W+(Σx)
2
W
NEXT
Rem CALCULATE
B
2
/A/N X
W/N Y
C Z
Analysis of variance chart of one-way layout method
Declaration of one
variable statistic
Display of ΣX
(sum of levels)
Accumulation of data
Accumulation of
square of data
Entry of data
K = K + 1
LOOP2
LOOP1
[X] = (Σ Σ Xij)
2
÷ AN
[A] = Σi (Σj Xij)
2
÷ N
[AS] = Σi Σj (Xij)
2
A : number of levels
N: repeated frequency
X : number of data
S = S + 1
Calculation of X,Y and Z
Calculation and display
of variance
Calculation and display
of sum of squares
Calculation and display
of degree of freedom
Calculation and display
of variance ratio
Accumulation
of (ΣX)
2
N
N
Y
Y
Factor
Error
Total
Sum of squares (S)
S
A
= [A] - [X]
S
E
= [AS] - [A]
S
T
= [AS] - [X]
Degree of freedom (θ)
θ
A
= A - 1
θ
E
= A (N- 1)
θ
T
= AN - 1
Variance (V)
V
A
= S
A
÷ θ
A
V
E
= S
E
÷ θ
E
Variance ratio (F)
F
A
= V
A
÷ V
E
Rem SUM OF SQUARES
Y-X E
Z-Y M
Z-X P
Print "SUM OF SQUARES
Print E
Print "ERROR SUM OF SQUARES
Print M
Wait
Print "TOTAL SUM OF SQUARES
Print P
Wait
Rem DEGREES OF FREEDOM
A-1 Q
A (N-1) R
A N-1 D
Print "DEGREES OF FREEDOM
Print Q
Print "
DEGREES OF FREEDOM
Print R
Wait
Print "
SUM OF DEGREES OF FREEDOM
Print D
Wait
Rem VARIANCE
E/Q V
M/R U
Print "VARIANCE
Print V
Print "VARIANCE OF ERRORS
Print U
Wait
Rem VARIANCE RATIO
V/U F
Print "VARIANCE RATIO
Print F
End
ABOUT ERRORS
Title : VARIANCE
K
≤
N
S
≤
1
22