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Do Apparel Stores Have a Higher Return on Equity (ROE) than Department Stores?

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My population is the return on equity in all years for all apparel stores and return on equity in all years for all department stores.  The parameters are the mean return on equity for all apparel stores and the mean return on equity for all department stores.  The samples are 51 apparel stores and 30 department stores from Yahoo Finance on November 6, 2013.  I eliminated stores for which Yahoo did not have a ROE or that had negative ROE.  The statistics are the mean return on equity for 51 apparel stores which was 19.30and the mean return on equity for 30 department stores which was 16.47%.

 

Presentation of the data:

 

 

Department Store

ROE %

 

 

 

 

 

cumulative

 

  lower

 

upper

midpoint

width

 frequency

percent 

   frequency

percent

 

0.00

5.00

2.50

5.00

5  

16.7  

5  

16.7  

 

5.00

10.00

7.50

5.00

4  

13.3  

9  

30.0  

 

10.00

15.00

12.50

5.00

7  

23.3  

16  

53.3  

 

15.00

20.00

17.50

5.00

7  

23.3  

23  

76.7  

 

20.00

25.00

22.50

5.00

3  

10.0  

26  

86.7  

 

25.00

30.00

27.50

5.00

1  

3.3  

27  

90.0  

 

30.00

35.00

32.50

5.00

0  

0.0  

27  

90.0  

 

35.00

40.00

37.50

5.00

0  

0.0  

27  

90.0  

 

40.00

45.00

42.50

5.00

1  

3.3  

28  

93.3  

 

45.00

50.00

47.50

5.00

1  

3.3  

29  

96.7  

 

50.00

55.00

52.50

5.00

0  

0.0  

29  

96.7  

 

55.00

60.00

57.50

5.00

1  

3.3  

30  

100.0  

                   
           

30  

100.0  

   

 

 

 

 

 

Department Store

   
     

 

ROE %

 

count

30

 

mean

16.41727

 

sample standard deviation

12.64181

 

sample variance

159.81544

 

minimum

0.599

 

maximum

55.215

 

range

54.616

 
     

 

 

Apparel stores

ROE %

 

 

 

 

 

cumulative

 

  lower

 

upper

midpoint

width

 frequency

percent 

   frequency

percent

 

0.00

10.00

5.00

10.00

12  

23.5  

12  

23.5  

 

10.00

20.00

15.00

10.00

22  

43.1  

34  

66.7  

 

20.00

30.00

25.00

10.00

8  

15.7  

42  

82.4  

 

30.00

40.00

35.00

10.00

3  

5.9  

45  

88.2  

 

40.00

50.00

45.00

10.00

4  

7.8  

49  

96.1  

 

50.00

60.00

55.00

10.00

1  

2.0  

50  

98.0  

 

60.00

70.00

65.00

10.00

0  

0.0  

50  

98.0  

 

70.00

80.00

75.00

10.00

1  

2.0  

51  

100.0  

                   
           

51  

100.0  

   

 

                                  

Apparel stores

 
   

 

ROE %

count

51

mean

19.29759

sample standard deviation

14.90353

sample variance

222.11522

minimum

1.057

maximum

71.474

range

70.417

 

 

Hypothesis test:

Ho:  µAp  ≥ µDept   or  µAp – µDept  ≥  0

HA:  µAp  < µDept or µAp – µDept  <  0

Tcrit   = 2.462 ( using α = 0.01 in one tail and df = n – 1 = 30 – 1 =29 using the smaller of the sample sizes) In Excel, t.inv(.99,29)

Fail to reject Ho.  The 2.88% difference between the mean return on equity for apparel companies and the mean return on equity of department stores is not sufficient evidence to prove that the apparel companies have a significantly higher return on equity than department stores, on average.  There was quite a bit of variation within the two data sets which resulted in me not being confident in the difference I found between the two means.  Note that both had distributions that are skewed to the right, but since the sample sizes both exceed 30, I was able to use the normal distribution in the analysis.

 

 

Appendix:  Data table:

Department Stores

   

Apparel Stores

 
 

ROE %

   

ROE %

Kirkcaldie & Stains Limited

0.599

 

Ocean Sky International Ltd.

1.057

Bon-Ton Stores Inc.

0.616

 

Destination XL Group, Inc.

1.273

Grupo Elektra, S.A. de C.V.

1.769

 

Reitmans (Canada) Limited

1.437

Saks Incorporated

3.768

 

Reitmans (Canada) Limited

1.437

Metro Holdings Limited

4.656

 

LeRoi Holdings Ltd.

2.658

Sears Hometown and Outlet Stor

7.496

 

Etam Developpement SA

4.509

Grupo Famsa SAB de CV

7.931

 

New York & Company Inc.

5.409

Lianhua Supermarket

8.176

 

Stage Stores Inc.

6.578

Organizacion Soriana

8.846

 

Moss Bros Group PLC

6.944

New World Depa.Store Chin

10.184

 

The Children

8.954

Sears Canada Inc.

11.801

 

Joyce Boutique Holdings Ltd.

9.081

Parkson Retail Group Ltd.

11.987

 

Jos. A Bank Clothiers Inc.

9.744

David Jones Limited

12.073

 

Shoe Carnival Inc.

10.13

Wing On Company Inter

14.091

 

Evergreen International

10.507

Century Ginwa Retail

14.306

 

Ascena Retail Group Inc.

10.713

Intime Department Store Group

14.585

 

Stein Mart Inc.

11.616

Springland International

15.368

 

The Men’s Wearhouse, Inc.

11.701

Kohl’s Corp.

15.848

 

I.T Ltd.

12.178

Services

16.887

 

Trinity Ltd.

12.875

Marks & Spencer Group PLC

17.397

 

Genesco Inc.

13.012

Dillard’s Inc.

18.037

 

Premier Investments Limited

13.683

Debenhams PLC

18.201

 

Abercrombie & Fitch Co.

14.525

Patagonia

19.034

 

The Cato Corporation

14.8

Macy’s, Inc.

23.354

 

Luxottica Group S.p.A.

14.812

Lifestyle International

23.667

 

Luxottica Group SpA

14.812

Ashley (Laura) Holdings PLC

24.18

 

Goldlion Holdings Ltd.

15.036

Golden Eagle Retail Group Ltd.

25.666

 

Guess’ Inc.

15.107

Warehouse Group Limited (The)

41.039

 

Kathmandu Holdings Limited

15.396

China Seven Star Shopping Ltd.

45.741

 

Chico’s FAS Inc.

15.435

The TJX Companies, Inc.

55.215

 

DSW Inc.

15.884

     

Xtep International

15.929

     

American Eagle Outfitters, Inc

16.762

     

OrotonGroup Limited

17.265

     

Urban Outfitters Inc.

19.715

     

Specialty Fashion

21.308

     

Destination Maternity Corporat

21.362

     

Marisa Lojas SA

22.836

     

Casual Male Retail Group, Inc.

25.52

     

ANN INC.

25.902

     

Tilly’s, Inc.

25.966

     

Hallenstein Glasson Limited

27.969

     

Giordano International Ltd.

29.615

     

Industria De Diseno Textil SA

30.974

     

Express Inc.

36.534

     

Nordstrom Inc.

39.255

     

The Gap, Inc.

40.749

     

The Buckle, Inc.

44.135

     

Ross Stores Inc.

46.945

     

Cherokee Inc.

47.444

     

TJX Companies

55.215

     

Francesca’s Holdings Corporati

71.474

 

 

 

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