ANALYSIS ON SPSS

Analysis on SPSS



Analysis on SPSS

Data Set

Tog is a scientific measure of the ability of material to resist the flow of heat (that is, to insulate), particularly used in winter clothing, bedding and carpets. The higher the tog value, the more insulating the material. Tog values are ratio scaled, so they may be added, and they have a meaningful zero. A particular example of this is with duvets that are often sold as a pair: one duvet has a tog of 4.5, while a second has a tog of 9.0. But placed on top of each other they are advertised as has having a tog of 13.5. The tog rating of a duvet that is not there is 0.

A carpet that is a good insulator leads to reduced fuel bills both in domestic or office use. The data concerns 27 different carpets that have been tested and measured. All carpets were constructed from the same backing material (jute).

Now, using this cleaned-up data, determine which of the following three groups of variables makes a significant contribution to a carpet's tog value (use change in R2 F-tests).

Group 1. The thickness of the carpet, measured by the height of the base, and the height of the pile (in mm).

Group 2. The design of the pile - whether the pile is looped, or cut.

Group 3. What the pile is made of: Polyamide, Polyester, Acrylics, Viscose, or Wool; combinations of these materials are also possible, as you will see from the data, Figures are proportions, so they must add up to 1, and therefore act like dummy variables in the sense that one of the set must be dropped and used as the base.

Descriptive Statistics

Statistics

Thickness Pile (mm)

Thickness Base (mm)

Thickness Total (mm)

Weight Pile (g/m2)

Weight Base (g/m2)

Weight Total (g/m2)

TOG

N

Valid

27

27

27

27

27

27

27

Missing

0

0

0

0

0

0

0

Mean

6.110370

3.207407

9.227778

902.96296

1585.44444

2452.66667

2.3328

Median

5.980000

3.160000

9.000000

843.00000

1581.00000

2442.00000

2.1900

Mode

4.0600a

3.3000

8.8500

722.000a

1446.000a

2169.000a

1.28a

Std. Deviation

1.0299458

.3984257

1.0644585

215.779888

65.117842

112.981619

.61125

Skewness

.211

3.786

.113

3.676

.412

-.229

1.169

Std. Error of Skewness

.448

.448

.448

.448

.448

.448

.448

Kurtosis

-.651

17.505

-.536

16.206

.526

.271

1.508

Std. Error of Kurtosis

.872

.872

.872

.872

.872

.872

.872

Range

3.8300

2.1900

4.0500

1147.000

302.000

497.000

2.70

Percentiles

25

5.350000

3.010000

8.600000

790.00000

1536.00000

2390.00000

1.9120

50

5.980000

3.160000

9.000000

843.00000

1581.00000

2442.00000

2.1900

75

6.810000

3.300000

10.110000

932.00000

1622.00000

2528.00000

2.5380

a. Multiple modes exist. The smallest value is shown

From above table of descriptive statistics it is observed that mean value of TOG is 2.333 and std. deviation is 0.611 which indicates that there isn't any variation is present in the data set. The mean value of thickness total is 9.222 and std. deviation is 1.064 which shows that there isn't any variation is present in thickness of carpet. The mean value of weight total is 2453.66 and std. deviation is 112.981619 which show that there isn't any variation is present in weight of carpet.

Histogram

The shape of above histogram is said to be positively skewed. The pile of the carpet can be highly estimated at 50,000-55,000.

The shape of above histogram is said to be positively skewed. The base of the carpet can be highly estimated at 30,000-35,000.

The shape of above histogram is said to be symmetric. The total of pile and base of the carpet can be highly estimated at 90,000.

The shape of above histogram is said to be positively skewwed. The pile (weight) of the carpet can be highly estimated at 800,000.

The shape of above histogram is said to be symmetric. The base (weight) of the carpet can be highly ...