Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Financialmodeling by Talal Tahir 170 views
- Chapter 16 by matthewlevy 527 views
- Hadoop Summit EU 2013: Parallel Lin... by Josh Patterson 5522 views
- Mba512 Simple Linear Regression Notes by Wilkes University 2868 views
- Midterm by Wilkes U 423 views
- The power of RapidMiner, showing th... by Wessel Luijben 661 views

2,090 views

Published on

Central Tendency, Dispersion, Correlation, Regression, Index Number, Time Series

No Downloads

Total views

2,090

On SlideShare

0

From Embeds

0

Number of Embeds

4

Shares

0

Downloads

22

Comments

0

Likes

1

No embeds

No notes for slide

- 1. Quantitative Applications In Management Faculty – Mr. Ashu Jain Course – “Quantitative Applications In Management.” Programme – MBA-IB; 1st Semester Amity International Business School
- 2. Arithmetic Mean (DirectMethod) Individual Series x¯ = ∑X / N Here ∑X = Sum of variables And N = Number of Items Discrete Series x¯ = ∑fX / ∑f Here ∑f = Total no of Frequencies Continuous Series x¯ = ∑fX / ∑f Here X = Mid values of class intervals
- 3. Arithmetic Mean (Short cut Method) Individual Series x¯ = A + ∑dx / N Here ∑dx = Sum of deviations taken from assumed mean A = Assumed Mean Discrete Series x¯ = A + ∑(fdx) / ∑f Here ∑fdx = Sum of Multiplication of Frequency with deviations taken from assumed mean Continuous Series x¯ = A + ∑(fdx) / ∑f
- 4. Median Individual Series N+1 / 2th Item Here N = Total No. of Items arranged in ascending or descending order. Discrete Series ∑f+1 / 2th Item Here (∑f+1 / 2th) Item will be judged on the basis of cumulative frequency. Continuous Series N / 2th Item L1 + N/2 – C.F. * i F Here L1 = Lower limit of Median class N/2 = Median item C.F. = Cumulative Frequency preceding class interval F = Frequency against Median class interval i = Gap of Median class interval
- 5. Mode Continuous Series L1 + | f1 – f 0 l * i | f1-f0 | + | f1-f2 | Here L = Lower limit of the Modal Class 1 Interval. f = Frequency of Modal class 1
- 6. Quartile Deviation Q.D. = Q – Q / 2 3 1 Here, Q3 = 3rd quartile And, Q1 = 1st quartile
- 7. Mean Deviation / Average Deviation Individual Series M.D. =( ∑ldxl ) / N Here, dx = X – Mean / Median / Mode Discrete Series, Continuous Series M.D. =( ∑f ldxl ) / ∑f Here, dx = X – Mean / Median / Mode
- 8. Standard Deviation Individual Series S.D. = √∑dx² / N Here, dx = X – Actual Mean Discrete Series S.D. = √∑fdx² / ∑f Here, dx = X – Actual Mean Continuous Series S.D. = √∑fdx² / ∑f Here, dx = X – Actual Mean And, X = Mid Values of class intervals
- 9. Variance and Coefficient of Variation Variance = (S.D.)² Coefficient of Variation = S.D. X 100 Mean
- 10. Karl Pearson’s Coefficient ofCorrelation (Direct Method) r = ∑dxdy N σx σy r= ∑dxdy √∑dx² √∑dy²
- 11. Karl Pearson’s Coefficient of Correlation(Short cut / Assumed Mean Method)o r = ∑dxdy - ∑dx∑dy N √∑dx² - (∑dx)² √∑dy² - (∑dy)² N N r = ∑fdxdy – (∑fdx)(∑fdy) N √∑fdx² - (∑fdx)² √∑fdy² - (∑fdy)² N N
- 12. Spearman’s Rank Correlation Method When Ranks are not Repeated:- rk = 1 - 6 ∑D² N(N²-1) Here D = Rank 1 – Rank 2
- 13. Regression Equations General Form:- X on Y X – X = r σx (Y – Y) σy• r σx = bxy = Regression Coefficient of Equation X on Y σy Y on X Y – Y = r σy (X – X) σx• r σy = byx = Regression Coefficient of Equation Y on X σx
- 14. Regression Equations Actual Mean Method:- X on Y X – X = ∑dxdy (Y – Y) ∑dy² Y on X Y – Y = ∑dxdy (X – X) ∑dx²
- 15. Regression Equations Assumed Mean Method:- X on Y X – X = ∑dxdy - ∑dx∑dy (Y – Y) N ∑dy² - (∑dy)² N Y on X Y – Y = ∑dxdy - ∑dx∑dy (X – X) N ∑dx² - (∑dx)² N
- 16. Regression Equations Assumed Mean Method ( Continuous Series ) :- X on Y X – X = ∑fdxdy - ∑fdx∑fdy (Y – Y) N x ix ∑fdy² - (∑fdy)² iy N Y on X Y – Y = ∑fdxdy - ∑fdx∑fdy (X– X) N x iy ∑fdx² - (∑fdx)² ix N
- 17. Simple Aggregative Methodo P01 = ∑P1 x 100 ∑P0 Here, P01 = Price Index for the Current year ∑P1 = Total of Current year Prices ∑P0 = Total of Base year Prices P01 = ∑(P1/ P0 x 100) N Here, P01 = Price Index for the Current year ∑P1 = Current year Price ∑P0 = Base year Price N = Total Number of Years
- 18. Chain Base IndexChain Base Index = Current year Link Relative x Previous year Chain Index 100
- 19. Base ShiftingNew Base Index Number = Old Index Number of Current Year x 100 Old Index Number of New Base Year
- 20. Laspeyre’s Method / AggregateExpenditure Methodo P01 = ∑P1Q0 x 100 ∑P0Q0
- 21. Paasche’s Methodo P01 = ∑P1Q1 x 100 ∑P0Q1
- 22. Dorbish and Bowley’s Methodo P01 = ∑P1Q0 + ∑P1Q1 ∑P0Q0 ∑P0Q1 x 100 2
- 23. Marshall-Edgeworth’s Methodo P01 = ∑P1Q0 + ∑P1Q1 x 100 ∑P0Q0 + ∑P0Q1
- 24. Fisher’s Methodo P01 =√ ∑P1Q0 x ∑P1Q1 x 100 ∑P0Q0 ∑P0Q1
- 25. Kelly’s Methodo P01 = ∑P1Q x 100 ∑P0Q Here, Q = Q0 + Q1 2
- 26. Weighted Average of Price Relative /Family Budget Method P01 = ∑PV ∑V Here, P = Price Relatives V = P0Q0
- 27. Components of Time Series Secular Trend Cyclical Variations Seasonal Variations Irregular or Random Variations
- 28. Methods of Measuring Trend Free Hand Curve Method Semi Average Method Moving Average Method Method of Least Square
- 29. Semi Average Method Annual Change =Difference of Two Semi Average ValuesDifference of Years of Semi Average
- 30. Method of Least Squareo Equation for Time Series Y = a + bXTo calculate a and b, Solve the following Equations: ∑Y = aN + b∑X ∑XY = a∑X + b∑X²Here, Y = Given Data i.e. Sales or Profit etc. X= Years in terms of Units like 1,2,3 etc.

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment