initial commit / add all books

5 files changed, 772 insertions, 0 deletions

diff --git a/331/CH4/EX4.1/Example_4_1.sce b/331/CH4/EX4.1/Example_4_1.sce
new file mode 100755
index 000000000..dddb9037a
--- /dev/null
+++ b/331/CH4/EX4.1/Example_4_1.sce
@@ -0,0 +1,116 @@
+//Caption: Completely Randomized Design

+//Example4.1

+//Page75

+clear;

+clc;

+A1 = 23;

+A2 = 34;

+A3 = 45;

+A4 = 34;

+B1 = 30;

+B2 = 20;

+B3 = 30;

+B4 = 20;

+C1 = 35;

+C2 = 29;

+C3 = 25;

+C4 = 45;

+D1 = 28;

+D2 = 40;

+D3 = 40;

+D4 = 34;

+Yij = [A1,B1,C1,D1;A2,B2,C2,D2;A3,B3,C3,D3;A4,B4,C4,D4];

+disp(Yij,'Yij=')

+[m,n] = size(Yij);

+Y = sum(Yij(:,:));

+disp(Y,'Y=')

+Y1 = sum(Yij(:,1));

+disp(Y1,'Y1=')

+Y2 = sum(Yij(:,2));

+disp(Y2,'Y2=')

+Y3 = sum(Yij(:,3));

+disp(Y3,'Y3=')

+Y4 = sum(Yij(:,4));

+disp(Y4,'Y4=')

+SS_total = sum(Yij(:,:).^2)-(Y^2)/(m*n);

+disp(SS_total,'SS_total=')

+SS_treatments = ((Y1^2)/m)+((Y2^2)/m)+((Y3^2)/m)+((Y4^2)/m)-(Y^2)/(m*n);

+disp(SS_treatments,'SS_treatments=')

+SS_error = SS_total-SS_treatments;

+disp(SS_error,'SS_error=')

+Bet_Treat_DOF = m-1;

+disp(Bet_Treat_DOF,'Degrees of freedom Between treatments=')

+Within_Treat_DOF = m*n-m;

+disp(Within_Treat_DOF,'Degrees of freedom With in treatments=')

+MSS = [SS_treatments/Bet_Treat_DOF,SS_error/Within_Treat_DOF];

+disp(MSS,'Mean Sum of Squares =');

+F_ratio = MSS(1)/MSS(2);

+disp(F_ratio,'Calculated F ratio =')

+Ftable =  3.49;

+disp(Ftable,'Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,12)=')

+if (F_ratio<Ftable) then

+    disp('Null Hypothesis should be accepted')

+else

+    disp('Reject Null Hypothesis')

+end

+//Result

+//Yij=   

+// 

+//    23.    30.    35.    28.  

+//    34.    20.    29.    40.  

+//    45.    30.    25.    40.  

+//    34.    20.    45.    34.  

+// 

+// Y=   

+// 

+//    512.  

+// 

+// Y1=   

+// 

+//    136.  

+// 

+// Y2=   

+// 

+//    100.  

+// 

+// Y3=   

+// 

+//    134.  

+// 

+// Y4=   

+// 

+//    142.  

+// 

+// SS_total=   

+// 

+//    938.  

+// 

+// SS_treatments=   

+// 

+//    270.  

+// 

+// SS_error=   

+// 

+//    668.  

+// 

+// Degrees of freedom Between treatments=   

+// 

+//    3.  

+// 

+// Degrees of freedom With in treatments=   

+// 

+//    12.  

+// 

+// Mean Sum of Squares =   

+// 

+//    90.    55.666667  

+// 

+// Calculated F ratio =   

+// 

+//    1.6167665  

+// 

+// Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,12)=   

+// 

+//    3.49  

+// 

+// Null Hypothesis should be accepted  
\ No newline at end of file
diff --git a/331/CH4/EX4.2/Example_4_2.sce b/331/CH4/EX4.2/Example_4_2.sce
new file mode 100755
index 000000000..ccc9f22eb
--- /dev/null
+++ b/331/CH4/EX4.2/Example_4_2.sce
@@ -0,0 +1,102 @@
+//Caption: Completely Randomized Design

+//Example4.2

+//Page78

+clear;

+clc;

+Yij = [80,70,65,90;90,60,50,89;96,55,58,85;85,85,55,95;70,90,40,80];

+disp(Yij,'Yij=')

+[m,n] = size(Yij);

+Y = sum(Yij(:,:));

+disp(Y,'Y=')

+Y1 = sum(Yij(:,1));

+disp(Y1,'Y1=')

+Y2 = sum(Yij(:,2));

+disp(Y2,'Y2=')

+Y3 = sum(Yij(:,3));

+disp(Y3,'Y3=')

+Y4 = sum(Yij(:,4));

+disp(Y4,'Y4=')

+SS_total = sum(Yij(:,:).^2)-(Y^2)/(m*n);

+disp(SS_total,'SS_total=')

+SS_treatments = ((Y1^2)/m)+((Y2^2)/m)+((Y3^2)/m)+((Y4^2)/m)-(Y^2)/(m*n);

+disp(SS_treatments,'SS_treatments=')

+SS_error = SS_total-SS_treatments;

+disp(SS_error,'SS_error=')

+Bet_Treat_DOF = n-1;

+disp(Bet_Treat_DOF,'Degrees of freedom Between treatments=')

+Within_Treat_DOF = m*n-n;

+disp(Within_Treat_DOF,'Degrees of freedom With in treatments=')

+MSS = [SS_treatments/Bet_Treat_DOF,SS_error/Within_Treat_DOF];

+disp(MSS,'Mean Sum of Squares =');

+F_ratio = MSS(1)/MSS(2);

+disp(F_ratio,'Calculated F ratio =')

+Ftable =  3.24;

+disp(Ftable,'Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,16)=')

+if (F_ratio<Ftable) then

+    disp('Null Hypothesis should be accepted')

+else

+    disp('Reject Null Hypothesis')

+end

+//Result

+//Yij=   

+// 

+//    80.    70.    65.    90.  

+//    90.    60.    50.    89.  

+//    96.    55.    58.    85.  

+//    85.    85.    55.    95.  

+//    70.    90.    40.    80.  

+// 

+// Y=   

+// 

+//    1488.  

+// 

+// Y1=   

+// 

+//    421.  

+// 

+// Y2=   

+// 

+//    360.  

+// 

+// Y3=   

+// 

+//    268.  

+// 

+// Y4=   

+// 

+//    439.  

+// 

+// SS_total=   

+// 

+//    5368.8  

+// 

+// SS_treatments=   

+// 

+//    3570.  

+// 

+// SS_error=   

+// 

+//    1798.8  

+// 

+// Degrees of freedom Between treatments=   

+// 

+//    3.  

+// 

+// Degrees of freedom With in treatments=   

+// 

+//    16.  

+// 

+// Mean Sum of Squares =   

+// 

+//    1190.    112.425  

+// 

+// Calculated F ratio =   

+// 

+//    10.584834  

+// 

+// Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,16)=   

+// 

+//    3.24  

+// 

+// Reject Null Hypothesis   

+ 
\ No newline at end of file
diff --git a/331/CH4/EX4.3/Example_4_3.sce b/331/CH4/EX4.3/Example_4_3.sce
new file mode 100755
index 000000000..fc8fe8960
--- /dev/null
+++ b/331/CH4/EX4.3/Example_4_3.sce
@@ -0,0 +1,157 @@
+//Caption: Randomized Complete Block Design

+//Example4.3

+//Page82

+clear;

+clc;

+Yij = [23,30,25,28;34,20,29,34;45,30,45,40;34,20,35,40];

+disp(Yij,'Yij=')

+[m,n] = size(Yij);

+Y = sum(Yij(:,:));

+disp(Y,'Y=')

+Yi1 = sum(Yij(:,1));

+disp(Yi1,'Yi1=')

+Yi2 = sum(Yij(:,2));

+disp(Yi2,'Yi2=')

+Yi3 = sum(Yij(:,3));

+disp(Yi3,'Yi3=')

+Yi4 = sum(Yij(:,4));

+disp(Yi4,'Yi4=')

+Y1j = sum(Yij(1,:));

+disp(Y1j,'Y1j=')

+Y2j = sum(Yij(2,:));

+disp(Y2j,'Y2j=')

+Y3j = sum(Yij(3,:));

+disp(Y3j,'Y3j=')

+Y4j = sum(Yij(4,:));

+disp(Y4j,'Y4j=')

+SS_total = sum(Yij(:,:).^2)-(Y^2)/(m*n);

+disp(SS_total,'SS_total=')

+SS_Blocks = ((Y1j^2)/n)+((Y2j^2)/n)+((Y3j^2)/n)+((Y4j^2)/n)-(Y^2)/(m*n);

+disp(SS_Blocks,'SS_blocks=')

+SS_treatments = ((Yi1^2)/m)+((Yi2^2)/m)+((Yi3^2)/m)+((Yi4^2)/m)-(Y^2)/(m*n);

+disp(SS_treatments,'SS_treatments=')

+SS_error = SS_total-SS_treatments-SS_Blocks;

+disp(SS_error,'SS_error=')

+Bet_Treat_DOF = n-1;

+disp(Bet_Treat_DOF,'Degrees of freedom Between treatments=')

+Bet_Blocks = m-1;

+disp(Bet_Blocks,'Degrees of freedom Between Blocks=')

+Within_Treat_DOF = m*n-n-m+1;

+disp(Within_Treat_DOF,'Degrees of freedom With in treatments=')

+MSS = [SS_treatments/Bet_Treat_DOF,SS_Blocks/Bet_Blocks,SS_error/Within_Treat_DOF];

+disp(MSS,'Mean Sum of Squares =');

+F_ratio1 = MSS(1)/MSS(3);

+F_ratio2 = MSS(2)/MSS(3);

+disp(F_ratio1,'Calculated F ratio1 for component treatment=')

+disp(F_ratio2,'Calculated F ratio2 for component block=')

+Ftable =  3.86;

+disp(Ftable,'Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,9)=')

+if (F_ratio1 <Ftable) then

+    disp('Null Hypothesis should be accepted')

+    disp('There is no significant difference in terms of weekly sales made between the graduates of different business schools')

+else

+    disp('Reject Null Hypothesis')

+end

+if (F_ratio2 <Ftable) then

+    disp('Null Hypothesis should be accepted')

+    disp('There is no significant difference in terms of weekly sales made between different sections of the showroom')

+else

+    disp('Reject Null Hypothesis')

+    disp('There is significant difference in terms of weekly sales made between different sections of the showroom')

+end

+//Result

+//Yij=   

+// 

+//    23.    30.    25.    28.  

+//    34.    20.    29.    34.  

+//    45.    30.    45.    40.  

+//    34.    20.    35.    40.  

+// 

+// Y=   

+// 

+//    512.  

+// 

+// Yi1=   

+// 

+//    136.  

+// 

+// Yi2=   

+// 

+//    100.  

+// 

+// Yi3=   

+// 

+//    134.  

+// 

+// Yi4=   

+// 

+//    142.  

+// 

+// Y1j=   

+// 

+//    106.  

+// 

+// Y2j=   

+// 

+//    117.  

+// 

+// Y3j=   

+// 

+//    160.  

+// 

+// Y4j=   

+// 

+//    129.  

+// 

+// SS_total=   

+// 

+//    938.  

+// 

+// SS_blocks=   

+// 

+//    407.5  

+// 

+// SS_treatments=   

+// 

+//    270.  

+// 

+// SS_error=   

+// 

+//    260.5  

+// 

+// Degrees of freedom Between treatments=   

+// 

+//    3.  

+// 

+// Degrees of freedom Between Blocks=   

+// 

+//    3.  

+// 

+// Degrees of freedom With in treatments=   

+// 

+//    9.  

+// 

+// Mean Sum of Squares =   

+// 

+//    90.    135.83333    28.944444  

+// 

+// Calculated F ratio1 for component treatment=   

+// 

+//    3.109405  

+// 

+// Calculated F ratio2 for component block=   

+// 

+//    4.6928983  

+// 

+// Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,9)=   

+// 

+//    3.86  

+// 

+// Null Hypothesis should be accepted   

+// 

+// There is no significant difference in terms of weekly sales made between the graduates of different business schools   

+// 

+// Reject Null Hypothesis   

+// 

+// There is significant difference in terms of weekly sales made between different sections of the showroom   

+// 
\ No newline at end of file
diff --git a/331/CH4/EX4.4/Example_4_4.sce b/331/CH4/EX4.4/Example_4_4.sce
new file mode 100755
index 000000000..9022c3736
--- /dev/null
+++ b/331/CH4/EX4.4/Example_4_4.sce
@@ -0,0 +1,164 @@
+//Caption: Randomized Complete Block Design

+//Example4.4

+//Page86

+clear;

+clc;

+Yij = [40,30,55,25,35;45,60,10,22,33;38,55,40,55,28;30,27,32,56,17;45,34,20,34,37];

+disp(Yij,'Yij=')

+[m,n] = size(Yij);

+Y = sum(Yij(:,:));

+disp(Y,'Y=')

+Yi1 = sum(Yij(:,1));

+disp(Yi1,'Yi1=')

+Yi2 = sum(Yij(:,2));

+disp(Yi2,'Yi2=')

+Yi3 = sum(Yij(:,3));

+disp(Yi3,'Yi3=')

+Yi4 = sum(Yij(:,4));

+disp(Yi4,'Yi4=')

+Yi5 = sum(Yij(:,5));

+disp(Yi5,'Yi5=')

+Y1j = sum(Yij(1,:));

+disp(Y1j,'Y1j=')

+Y2j = sum(Yij(2,:));

+disp(Y2j,'Y2j=')

+Y3j = sum(Yij(3,:));

+disp(Y3j,'Y3j=')

+Y4j = sum(Yij(4,:));

+disp(Y4j,'Y4j=')

+Y5j = sum(Yij(5,:));

+disp(Y5j,'Y5j=');

+SS_total = sum(Yij(:,:).^2)-(Y^2)/(m*n);

+disp(SS_total,'SS_total=')

+SS_team = ((Y1j^2)/n)+((Y2j^2)/n)+((Y3j^2)/n)+((Y4j^2)/n)+((Y5j^2)/n)-(Y^2)/(m*n);

+disp(SS_team,'SS_team_leader=')

+SS_team_leader = ((Yi1^2)/m)+((Yi2^2)/m)+((Yi3^2)/m)+((Yi4^2)/m)+((Yi5^2)/m)-(Y^2)/(m*n);

+disp(SS_team,'SS_team=')

+SS_error = SS_total-SS_team_leader-SS_team;

+Bet_Treat_DOF = n-1;

+disp(Bet_Treat_DOF,'Degrees of freedom Between treatments=')

+Bet_Blocks = m-1;

+disp(Bet_Blocks,'Degrees of freedom Between Blocks=')

+Error = m*n-n-m+1;

+disp(Error,'Degrees of freedom With in treatments=')

+MSS = [SS_team_leader/Bet_Treat_DOF,SS_team/Bet_Blocks,SS_error/Error];

+disp(MSS,'Mean Sum of Squares =');

+F_ratio1 = MSS(1)/MSS(3);

+F_ratio2 = MSS(2)/MSS(3);

+disp(F_ratio1,'Calculated F ratio1 for component treatment- team leader=')

+disp(F_ratio2,'Calculated F ratio2 for component block=')

+Ftable =  3.01;

+disp(Ftable,'Tablw F ratio for the significance level =0.05 and degrees of freedom (4,16)=')

+if (F_ratio1 <Ftable) then

+    disp('Null Hypothesis should be accepted')

+    disp('This means that there is no significant difference in terms of net worth between the team leaders')

+else

+    disp('Reject Null Hypothesis')

+end

+if (F_ratio2 <Ftable) then

+    disp('Null Hypothesis should be accepted')

+    disp('This means that there is no significant difference in terms of net worth between different teams')

+else

+    disp('Reject Null Hypothesis')

+end

+//Result

+// Yij=   

+// 

+//    40.    30.    55.    25.    35.  

+//    45.    60.    10.    22.    33.  

+//    38.    55.    40.    55.    28.  

+//    30.    27.    32.    56.    17.  

+//    45.    34.    20.    34.    37.  

+// 

+// Y=   

+// 

+//    903.  

+// 

+// Yi1=   

+// 

+//    198.  

+// 

+// Yi2=   

+// 

+//    206.  

+// 

+// Yi3=   

+// 

+//    157.  

+// 

+// Yi4=   

+// 

+//    192.  

+// 

+// Yi5=   

+// 

+//    150.  

+// 

+// Y1j=   

+// 

+//    185.  

+// 

+// Y2j=   

+// 

+//    170.  

+// 

+// Y3j=   

+// 

+//    216.  

+// 

+// Y4j=   

+// 

+//    162.  

+// 

+// Y5j=   

+// 

+//    170.  

+// 

+// SS_total=   

+// 

+//    4118.64  

+// 

+// SS_team_leader=   

+// 

+//    368.64  

+// 

+// SS_team=   

+// 

+//    368.64  

+// 

+// Degrees of freedom Between treatments=   

+// 

+//    4.  

+// 

+// Degrees of freedom Between Blocks=   

+// 

+//    4.  

+// 

+// Degrees of freedom With in treatments=   

+// 

+//    16.  

+// 

+// Mean Sum of Squares =   

+// 

+//    128.56    92.16    202.235  

+// 

+// Calculated F ratio1 for component treatment- team leader=   

+// 

+//    0.6356961  

+// 

+// Calculated F ratio2 for component block=   

+// 

+//    0.4557075  

+// 

+// Tablw F ratio for the significance level =0.05 7 degrees of freedom (3,9)=   

+// 

+//    3.86  

+// 

+// Null Hypothesis should be accepted   

+// 

+// This means that there is no significant difference in terms of net worth between the team leaders   

+// 

+// Null Hypothesis should be accepted   

+// 

+// This means that there is no significant difference in terms of net worth between different teams   

+// 
\ No newline at end of file
diff --git a/331/CH4/EX4.5/Example_4_5.sce b/331/CH4/EX4.5/Example_4_5.sce
new file mode 100755
index 000000000..7243137ac
--- /dev/null
+++ b/331/CH4/EX4.5/Example_4_5.sce
@@ -0,0 +1,233 @@
+//Caption: Latin Square Design

+//Example4.5

+//Page89

+clear;

+clc;

+A1 =23;

+A2 =34;

+A3 = 45;

+A4 = 34;

+B1 = 30;

+B2 = 20;

+B3 = 30;

+B4 = 20;

+C1 = 35;

+C2 = 29;

+C3 = 25;

+C4 = 45;

+D1 = 28;

+D2 = 40;

+D3 = 40;

+D4 = 34;

+Yij = [23,40,30,35;20,45,34,40;25,45,34,20;28,30,29,34];

+disp(Yij,'Yij=')

+[m,n] = size(Yij);

+Y = sum(Yij(:,:));

+disp(Y,'Y=')

+Yi1 = sum(Yij(:,1));

+disp(Yi1,'Yi1=')

+Yi2 = sum(Yij(:,2));

+disp(Yi2,'Yi2=')

+Yi3 = sum(Yij(:,3));

+disp(Yi3,'Yi3=')

+Yi4 = sum(Yij(:,4));

+disp(Yi4,'Yi4=')

+Y1j = sum(Yij(1,:));

+disp(Y1j,'Y1j=')

+Y2j = sum(Yij(2,:));

+disp(Y2j,'Y2j=')

+Y3j = sum(Yij(3,:));

+disp(Y3j,'Y3j=')

+Y4j = sum(Yij(4,:));

+disp(Y4j,'Y4j=')

+SS_total = sum(Yij(:,:).^2)-(Y^2)/(m*n);

+disp(SS_total,'SS_total=')

+SS_section = ((Y1j^2)/n)+((Y2j^2)/n)+((Y3j^2)/n)+((Y4j^2)/n)-(Y^2)/(m*n);

+disp(SS_section,'SS_section=')

+SS_period = ((Yi1^2)/m)+((Yi2^2)/m)+((Yi3^2)/m)+((Yi4^2)/m)-(Y^2)/(m*n);

+disp(SS_period,'SS_period=')

+Yij = [A1,A2,A3,A4;B1,B2,B3,B4;C1,C2,C3,C4;D1,D2,D3,D4];

+Y1j = sum(Yij(1,:));

+disp(Y1j,'Y1j=')

+Y2j = sum(Yij(2,:));

+disp(Y2j,'Y2j=')

+Y3j = sum(Yij(3,:));

+disp(Y3j,'Y3j=')

+Y4j = sum(Yij(4,:));

+disp(Y4j,'Y4j=')

+SS_treatments = ((Y1j^2)/n)+((Y2j^2)/n)+((Y3j^2)/n)+((Y4j^2)/n)-(Y^2)/(m*n);

+disp(SS_treatments,'SS_treatments=')

+SS_error = SS_total-SS_section-SS_treatments-SS_period;

+disp(SS_error,'SS_error=')

+Bet_Treat_DOF = n-1;

+disp(Bet_Treat_DOF,'Degrees of freedom Between treatments=')

+Bet_Blocks = m-1;

+disp(Bet_Blocks,'Degrees of freedom Between Blocks=')

+Error = 6;

+disp(Error,'Degrees of freedom With in treatments=')

+MSS = [SS_treatments/3,SS_section/3,SS_period/3,SS_error/Error];

+disp(MSS,'Mean Sum of Squares =');

+F_ratio1 = MSS(1)/MSS(4);

+F_ratio2 = MSS(2)/MSS(4);

+F_ratio3 = MSS(3)/MSS(4);

+disp(F_ratio1,'Calculated F ratio1 for component treatment- business school=')

+disp(F_ratio2,'Calculated F ratio2 for component rows-section=')

+disp(F_ratio3,'Calculated F ratio3 for component columns-period=')

+Ftable = 4.76;

+disp(Ftable,'Tablw F ratio for the significance level =0.05 and degrees of freedom (3,6)=')

+disp('Component-treatment (business school):')

+if (F_ratio1 >Ftable) then

+    disp('Null Hypothesis should be rejected')

+    disp('This means that there is significant difference in terms of weekly sales made between the graduates of')

+    disp('different business schools')

+else

+    disp('Accept Null Hypothesis')

+end

+disp('Component-rows(section):')

+if (F_ratio2 <Ftable) then

+    disp('Null Hypothesis should be accepted')

+    disp('This means that there is no significant difference in terms of weekly sales made between different sections')

+    disp('of the showroom')

+else

+    disp('Reject Null Hypothesis')

+end

+disp('Component-columns (period):')

+if (F_ratio3 <Ftable) then

+    disp('Null Hypothesis should be rejected')

+    disp('This means there is significant difference in terms of weekly sales made between different weeks(period)')

+    disp('of the showroom')

+else

+    disp('Accept Null Hypothesis')

+end

+//Result

+//Yij=   

+// 

+//    23.    40.    30.    35.  

+//    20.    45.    34.    40.  

+//    25.    45.    34.    20.  

+//    28.    30.    29.    34.  

+// 

+// Y=   

+// 

+//    512.  

+// 

+// Yi1=   

+// 

+//    96.  

+// 

+// Yi2=   

+// 

+//    160.  

+// 

+// Yi3=   

+// 

+//    127.  

+// 

+// Yi4=   

+// 

+//    129.  

+// 

+// Y1j=   

+// 

+//    128.  

+// 

+// Y2j=   

+// 

+//    139.  

+// 

+// Y3j=   

+// 

+//    124.  

+// 

+// Y4j=   

+// 

+//    121.  

+// 

+// SS_total=   

+// 

+//    938.  

+// 

+// SS_section=   

+// 

+//    46.5  

+// 

+// SS_period=   

+// 

+//    512.5  

+// 

+// Y1j=   

+// 

+//    136.  

+// 

+// Y2j=   

+// 

+//    100.  

+// 

+// Y3j=   

+// 

+//    134.  

+// 

+// Y4j=   

+// 

+//    142.  

+// 

+// SS_treatments=   

+// 

+//    270.  

+// 

+// SS_error=   

+// 

+//    109.  

+// 

+// Degrees of freedom Between treatments=   

+// 

+//    3.  

+// 

+// Degrees of freedom Between Blocks=   

+// 

+//    3.  

+// 

+// Degrees of freedom With in treatments=   

+// 

+//    6.  

+// 

+// Mean Sum of Squares =   

+// 

+//    90.    15.5    170.83333    18.166667  

+// 

+// Calculated F ratio1 for component treatment- business school=   

+// 

+//    4.9541284  

+// 

+// Calculated F ratio2 for component rows-section=   

+// 

+//    0.8532110  

+// 

+// Calculated F ratio3 for component columns-period=   

+// 

+//    9.4036697  

+// 

+// Tablw F ratio for the significance level =0.05 and degrees of freedom (3,6)=   

+// 

+//    4.76  

+// 

+// Component-treatment (business school):   

+// 

+// Null Hypothesis should be rejected   

+// 

+// This means that there is significant difference in terms of weekly sales made between the graduates of   

+// 

+// different business schools   

+// 

+// Component-rows(section):   

+// 

+// Null Hypothesis should be accepted   

+// 

+// This means that there is no significant difference in terms of weekly sales made between different sections   

+// 

+// of the showroom   

+// 

+// Component-columns (period):   

+// 

+// Accept Null Hypothesis   

+// 
\ No newline at end of file