Sharp manual Analysing with One-way Layout Method, Calculation, EL-9900 Graphing Calculator

EL-9900 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] = Σ i (Σ j Xij)2 ⎟	N
					[AS] = Σ i Σ j (Xij)2
Factor	SA = [A] - [X]	θ A = A - 1	VA = SA ⎟ θ A	FA = VA ⎟ VE
					A : number of levels
Error	SE = [AS] - [A]	θ E = A (N- 1)	VE = SE ⎟ θ E
					N: repeated frequency
Total	ST = [AS] - [X]	θ T = 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.
		square of data
			K = K + 1
Y			K ≤ N	Judgment of repeated frequency
			N		Σ X (sum of levels) displayed.
		Display of Σ		X
					Σ X obtained with
	(sum of levels)
					statistics feature.
		Accumulation			Square of Σ X accumulated.
			of (Σ X)2
			S = S + 1
Y			S ≤ 1	Repeated frequency corresponding
				to no. of levels judged.

Title : VARIANCE
Rem INPUT			Rem SUM OF SQUARES
Print "Input LEVEL			Y-X	E
Input L			Z-Y	M
L	A		Z-X	P
Print "Input TIMES			Print "SUM OF SQUARES
Input T			Print E
T	N		Print "ERROR SUM OF SQUARES
0	W		Print M
0	B		Wait
0	C		Print "TOTAL SUM OF SQUARES
For S, 1, A, 1			Print P
N	dim(L1)		Wait
For K, 1, N, 1			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
NEXT			E/Q	V
1_Stats L1			M/R	U
Σ x	J		Print "VARIANCE
Print "Σ		x=	Print V
Print J			Print "VARIANCE OF ERRORS

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.

Wait			Print U
W+(Σ	x)2	W	Wait
NEXT			Rem VARIANCE RATIO
Rem CALCULATE			V/U F
B2/A/N		X	Print "VARIANCE RATIO
W/N	Y		Print F
C Z			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

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