Presentation on the report_ https://www.slideshare.net/IstiaqueHasan2/applications-of-statistical-techniques which have covered a statistical analysis on BD Lamps, Aftab Auto and BSRM Steels Limited.

1. Applications of Statistical Techniques

2. ANOVA
NULL HYPOTHESIS, Ho: µ1 =µ2 =µ3
ALTERNATE HYPOTHESIS, H1: µ1 ≠µ2 ≠ µ3
DECISION RULE:
REJECT Ho IF
F > Critical Value of F

3. REVENUE

4. Revenue (In Million)
Year BSRM BD Lamps Aftab Auto
2011 3833.2 172.7 378.4
2012 6225.5 178.2 384.7
2013 6315.4 163.4 418.6
2014 9478.2 133.8 404.2
2015 9921.6 126.3 575.6
Year Aftab Auto BD Lamps BSRM
2011 3066.22 681.57 31242.6
2012 2541.22 953.53 38262.4
2013 1989.27 1031.61 36294.89
2014 2709.87 1175.15 38571.11
2015 2457.04 1262.86 33493.23

5. ANOVA: Single Factor
SUMMARY
Groups Count Sum Average Variance
Aftab Auto 5 12763.62 2552.724 153785.3
BD Lamps 5 5104.72 1020.944 50533.99
BSRM 5 177864.2 35572.85 9955117
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 3810847898 2 1.91E+09 562.6564 1.38E-12 3.885294
Within Groups 40637745.55 12 3386479
Total 3851485643 14

6. PROPERTY, PLANT & EQUIPMENT

7. Property, Plant & Equipment (In Million)
Year BSRM BD Lamps Aftab Auto
2011 3833.2 172.7 378.4
2012 6225.5 178.2 384.7
2013 6315.4 163.4 418.6
2014 9478.2 133.8 404.2
2015 9921.6 126.3 575.6

8. ANOVA: Single Factor
SUMMARY
Groups Count Sum Average Variance
Aftab Auto 5 35773.9 7154.78 6413647
BD Lamps 5 774.4 154.88 548.787
BSRM 5 2161.5 432.3 6670.79
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 157112165.4 2 78556083 36.7035 7.69E+00 3.885293835
Within Groups 25683465.52 12 2140289
Total 182795630.9 14

9. SHORT TERM LOAN

10. Short Term Loan (In Million
Year BSRM BD Lamps Aftab Auto
2011 14002.1 192.3 539.5
2012 15358.8 353.9 646.6
2013 13333 253.6 992.4
2014 20676 250.4 557.6
2015 14708.2 318.9 885.6

11. KRUSKAL-WALLIS TEST
Median n Avg. Rank
14,708.20 5 13.00 BSRM
253.60 5 3.00 BD Lamps
646.60 5 8.00 Aftab Auto
646.60 15 Total
12.500 H
2 df
.0019 p-value
No. Label Data Rank
1 BSRM 14002.1 12
2 BSRM 15358.8 14
3 BSRM 13333 11
4 BSRM 20676 15
5 BSRM 14708.2 13
6 BD Lamps 192.3 1
7 BD Lamps 353.9 5
8 BD Lamps 253.6 3
9 BD Lamps 250.4 2
10 BD Lamps 318.9 4
11 Aftab Auto 539.5 6
12 Aftab Auto 646.6 8
13 Aftab Auto 992.4 10
14 Aftab Auto 557.6 7
15 Aftab Auto 885.6 9

12. RETAINED EARNINGS

13. Retained Earnings (In Million
Year Aftab Auto BD Lamps BSRM
2011 1684.456 751.769 -280.919
2012 1823.177 520.878 114.553
2013 1991.278 497.113 1343.872
2014 2088.568 523.102 1940.312
2015 2247.588 569.238 3531.278

14. ANOVA: Single Factor
SUMMARY
Groups Count Sum Average Variance
Aftab Auto 5 9835.067 1967.013 48653.5
BD Lamps 5 2862.1 572.42 10734.04
BSRM 5 6649.096 1329.819 2322667
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 4874268 2 2437134 3.069368 0.083839 3.885294
Within Groups 9528219 12 794018.3
Total 14402487 14

15. BOOK VALUE PER SHARE

16. Book Value Per Share
Year Aftab Auto BD Lamps BSRM
2011 74.54 114.3 9.14
2012 65.81 65.6 17.02
2013 57.42 63.1 20.23
2014 52.64 65.8 21.93
2015 54.3 70.7 26.57

17. KRUSKAL-WALLIS TEST
Median n Avg. Rank
14,708.20 5 13.00 BSRM
253.60 5 3.00 BD Lamps
646.60 5 8.00 Aftab Auto
646.60 15 Total
12.500 H
2 df
.0019 p-value
No. Label Data Rank
1 BSRM 14002.1 12
2 BSRM 15358.8 14
3 BSRM 13333 11
4 BSRM 20676 15
5 BSRM 14708.2 13
6 BD Lamps 192.3 1
7 BD Lamps 353.9 5
8 BD Lamps 253.6 3
9 BD Lamps 250.4 2
10 BD Lamps 318.9 4
11 Aftab Auto 539.5 6
12 Aftab Auto 646.6 8
13 Aftab Auto 992.4 10
14 Aftab Auto 557.6 7
15 Aftab Auto 885.6 9
No. Label Data Rank
1 Aftab Auto 74.54 14
2 Aftab Auto 65.81 12
3 Aftab Auto 57.42 8
4 Aftab Auto 52.64 6
5 Aftab Auto 54.3 7
6 BD Lamps 114.3 15
7 BD Lamps 65.6 10
8 BD Lamps 63.1 9
9 BD Lamps 65.8 11
10 BD Lamps 70.7 13
11 BSRM 9.14 1
12 BSRM 17.02 2
13 BSRM 20.23 3
14 BSRM 21.93 4
15 BSRM 26.57 5
Median n Avg. Rank
57.42 5 9.40 Aftab Auto
65.80 5 11.60 BD Lamps
20.23 5 3.00 BSRM
57.42 15 Total
9.980 H
2 df
.0068 p-value

18. MULTIPLE REGRESSION

19. Company
Name
Year
Return on
Equity
Short Term
Debt
Long Term
Debt
Retained
Earnings
Net Income
Aftab Auto
2011 0.216654778 539.5 86.71 1684.456 920.33
2012 0.06485156 646.6 92.02 1823.177 292.19
2013 0.05557006 992.4 98.99 1991.278 270.31
2014 0.076110855 557.6 581.22 2088.568 383.55
2015 0.038743002 885.6 1013.61 2247.588 201.39
BD Lamps
2011 0.021654427 192.3 124.49 751.769 17.84
2012 0.004490872 353.9 99.13 520.878 2.76
2013 0.002894332 253.6 83.59 497.113 1.71
2014 0.015094034 250.4 58.14 523.102 9.31
2015 0.016547501 318.9 51.22 569.238 10.97
BSRM Steels
2011 0.298332102 18725.31 2124.08 -280.919 977.33
2012 0.155284618 18822.22 1536.77 114.553 1001.21
2013 0.186126715 19104.95 1520.17 1343.872 1401.59
2014 0.142271792 22055.78 1556.84 1940.312 1247.56
2015 0.202249997 16149.08 1965.65 3531.278 2097.29

20. Coefficients t Stat P-value
Intercept 0.064771 2.781 0.0194
Short Term Debt -0.00745 -1.664 0.1271
Long Term Debt 0.000052 1.298 0.2234
Retained Earnings -0.000049 -2.592 0.0269
Net Income 0.0001871 3.593 0.0049
Y = 0.06 - 0.0075X1 + 0.000052X2 - 0.000049X3 + 0.00019X4 + Σ

21. Regression Statistics
Multiple R 0.9081
R Square 0.8247
Adjusted R Square 0.7545
Standard Error 0.04625
Observations 15
ANOVA
df F Significance F
Regression 4 11.759 0.00085
Residual 10
Total 14