Sharp EL-9600, EL-9400 manual Analysis of variance chart of one-way layout method

Page 27

EL-9600/9400 Graphing Calculator

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

[X] = (Σ Σ Xij)2 ⎟ AN

 

Sum of squares (S)

Degree of freedom (θ)

Variance (V)

Variance ratio (F)

[A] = Σi (Σj Xij)2 ⎟ N

 

[AS] = Σi Σj (Xij)2

Factor

SA = [A] - [X]

θA = A - 1

VA = SA ⎟ θA

FA = VA ⎟ VE

A : number of levels

Error

SE = [AS] - [A]

θE = A (N- 1)

VE = SE ⎟ θE

 

 

N: repeated frequency

Total

ST = [AS] - [X]

θT = AN - 1

 

 

 

 

X : number of data

 

FLOWCHART

 

PROGRAMME LIST(STAT MODE)

Start

 

 

 

 

 

LOOP2

 

 

 

Entry of number of levels

 

Enter no. of levels and repeated

 

 

 

and repeat frequency

 

 

frequency.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Declaration of one

 

 

One variable statistic

 

 

 

variable statistic

 

 

(Stat X) declared.

 

 

 

 

 

LOOP1

 

 

 

 

 

 

 

 

 

 

 

Entry of data

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Accumulation of data

 

Data and square of data

 

 

 

Accumulation of

 

 

accumulated.

 

 

 

 

squareof data

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

K = K + 1

 

 

 

 

 

Y

 

 

(N+1)>K

Judgment of repeated frequency

 

 

 

 

 

 

 

 

 

 

N

 

 

ΣX (sum of levels) displayed.

 

 

 

 

Display of ΣX

 

 

 

 

 

 

 

 

ΣX obtained with

 

 

 

(sum of levels)

 

 

 

 

 

 

 

statistics feature.

 

 

 

 

 

 

 

 

 

 

 

 

Accumulation

 

 

Square of ΣX accumulated.

 

 

 

 

 

of (ΣX)2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

S = S + 1

 

 

 

 

 

Y

 

 

(A+1)>S

Repeated frequency corresponding

 

 

 

 

 

to no. of levels judged.

 

 

 

 

 

 

Title : VARIANCE

 

 

 

 

 

 

Rem INPUT

W/N

Y

 

 

 

 

Print "Input LEVEL

C Z

 

 

 

 

 

Input L

Rem SUM OF SQUARES

L

A

 

Y-X

E

 

 

 

 

Print "Input TIMES

Z-Y

M

 

 

 

 

Input T

Z-X

P

 

 

 

 

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

Q

 

 

 

 

S

L

 

A (N-1)

R

K

T

 

A N-1

D

Print "Input DATA

Print "DEGREES OF FREEDOM

Print "LEVEL

Print Q

 

 

 

 

Print L

 

Print "DEGREES OF FREEDOM

 

 

 

 

Print "TIME

Print R

 

ABOUT ERRORS

 

 

Print T

Wait

 

 

 

 

 

Input I

 

Print "SUM OF DEGREES OF FREEDOM

I

L1(K)

Print D

 

 

 

 

B+I

B

Wait

 

 

 

 

 

C+I2

C

Rem VARIANCE

K+1

K

E/Q

V

 

 

 

 

If (N+1)>K Goto LOOP1

M/R

U

 

 

 

 

1_Stats L1

Print "VARIANCE

Σ

 

 

 

 

 

 

 

 

N

Calculation of X,Y and Z

Calculation and display

of sum of squares

Calculation and display of degree of freedom

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.

x

J

 

Print V

Print "Σx=

Print "VARIANCE OF ERRORS

Print J

 

Print U

Wait

 

 

Wait

W+(Σx)2

W

Rem VARIANCE RATIO

S+1

S

 

V/U F

If (A+1)>S Goto LOOP2

Print "VARIANCE RATIO

Rem CALCULATE

Print F

B2/A/N

X

End

Calculation and display

of variance

Calculation and display

of variance ratio

Variance (V, U) calculated and displayed.

Variance ratio (F) calculated and displayed.

End

22

Image 27
Contents EL-9600/9400 Creating a new programme To finish editingExecute Sending programmes from a PCClick on the OK button To display the execute menuNot pair dx Invalid Matrix definition error DimensionStat calculation No argument enteredLayout Flowchart Programme List Real Mode = D D a D B D C = a + B + CParameters Print T Print S= End Sin B= W Sin B = W Sin aTension T is 21.840kg Tanθ i θ i -a Tan 2 θ Flowchart Programme Listreal ModeSpecify the programme mode Cos θ Flowchart Program Listreal ModeDisplay of luminous intensity Entry of time Calculation Angular velocity, etc FlowchartStart Entry of period and amplitude Print Input Period Print Input AmplitudeSelect the title Oscillat Print Z Wait Xmin Ymin End Draw N M sin W Print WATT=Select the title AC Power Inner product Flowchart Programme Listmatrix ModeCalculating vector inner product Start Entry of number of vectors Definition of arraysDisplay of angle of vector Label Simratio Label Rotate Start Array declaration Entry of coordinates X,YEntry of type To label Ysymmetry To label Symratio To label RotateSelect the title Line Trns = 1 + + M-1 Hi =Parameters Start Graph plot Flowchart Programme Liststat ModeEnter statistical data into L1 and L2 Calculation of step Gosub Start Entry of data Initial settingGosub Calculation of step GosubSelect the title Runge Flowchart Programme List Stat Mode Analysis of variance chart of one-way layout methodSelect the title Variance Enter the statistical data Calculation Plotting of graph = D + T/100 ≤ T Entry of time = V 0 cos θ T = V 0 sin θ TCalculation and display from released angle 45˚ Entry of released angleSpecify the programme mode Key pad for the Sharp EL-9600 Calculator Key pad for the Sharp EL-9400 Calculator Introduction and Calculation Parameters Programme List Sharp Corporation OSAKA,JAPAN
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EL-9600, EL-9400 specifications

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