Problem definition
The business world has in the recent past been dogged by myriad of problems ranging from global inflation to high level competition. Industries have been growing big due to new entrants in the market. This has posed great challenges in in terms of competition. Due to this, various businesses have embraced various methods to keep their businesses afloat. This include having to introduce online platforms where customers can view and by goods online. Some companies have reverted to doing research about the market trends so as to understand the trends in the market and adapt.
Things have not been different for Retail Surge Company, an online company dealing in clothes and footwear for boys and girls and men and women. Retail Surge also deals in customisation, accessories and sports equipment. Due to low sales and dwindling profit margins, the company decided to conduct a market research by conducting data from customers with an aim of analysing it and drawing important information to guide their business.
- The product category is made the most profit
To give information about the product category that made the most profit at Retail Surge, the appropriate bar graphs were employed to visually present the product and the amount of each.
- Product category that cost the most
To give information about the product category that cost most, at Retail Surge, the appropriate bar graphs were employed to visually present the product and the amount of each.
- Is there a difference in payment methods?
Since is a test for difference in means, an inferential statistics was employed. Independent t-test was employed since the test was being conducted between two variables. Test for difference between two independent variables use independent t-test. The two variables were the two methods of payments which were PayPal and credit card.
- Are there any differences in the user groups on all of the customer attitudes? (6 outcomes)
Since is a test for difference in means, an inferential statistics was employed. Analysis of variance (ANOVA) was employed since the test was being conducted among more 3 variables. Test for difference between three independent variables uses ANOVA. The three variables were light users, medium users and heavy users.
- Are there any differences in gender on all of the customer attitudes?
Since is a test for difference in means, an inferential statistics was employed. Independent t-test was employed since the test was being conducted between two variables. Test for difference between two independent variables use independent t-test. The two variables were the male and the females.
Figure 1
Figure 1 above is a bar chart showing the mean total profit of different products sold by Retail Surge. The product which fetched the highest profit was the customised products ($ 25). The second best product in terms of mean profit was men’s shoes ($15.5). The product that fetched the least profit was boys clothing.
Figure 2
Figure 2 above is a bar chart showing the mean cost of goods at Retail Surge. The product which had the highest mean cost was the customised products ($9.9). The second costly product was girls’ shoes ($8). The product that was less costly was boys’ clothing.
Figure 3
The box-plots above show that 95% of the time, the mean total purchases paid by PayPal was between around 3.15 while the mean total purchases paid by credit card was between 3.3 and 4.0.
Descriptives |
|||||||||
N |
Mean |
Std. Deviation |
Std. Error |
95% Confidence Interval for Mean |
Minimum |
Maximum |
|||
Lower Bound |
Upper Bound |
||||||||
Knowledge of the company |
Light Users |
104 |
2.85 |
1.711 |
.168 |
2.51 |
3.18 |
1 |
6 |
Medium Users |
204 |
4.90 |
1.664 |
.116 |
4.67 |
5.13 |
2 |
7 |
|
Heavy Users |
284 |
6.45 |
.601 |
.036 |
6.38 |
6.52 |
5 |
7 |
|
Total |
592 |
5.28 |
1.840 |
.076 |
5.14 |
5.43 |
1 |
7 |
|
Satisfaction with the company |
Light Users |
104 |
2.54 |
1.157 |
.113 |
2.31 |
2.76 |
1 |
6 |
Medium Users |
204 |
5.39 |
1.033 |
.072 |
5.25 |
5.53 |
2 |
7 |
|
Heavy Users |
284 |
6.07 |
.776 |
.046 |
5.98 |
6.16 |
2 |
7 |
|
Total |
592 |
5.22 |
1.585 |
.065 |
5.09 |
5.34 |
1 |
7 |
|
Preference for Nike |
Light Users |
104 |
2.46 |
1.507 |
.148 |
2.17 |
2.75 |
1 |
6 |
Medium Users |
204 |
2.82 |
1.572 |
.110 |
2.61 |
3.04 |
1 |
5 |
|
Heavy Users |
284 |
4.45 |
1.654 |
.098 |
4.26 |
4.64 |
1 |
7 |
|
Total |
592 |
3.54 |
1.826 |
.075 |
3.39 |
3.69 |
1 |
7 |
|
Purchase Intention for Nike |
Light Users |
100 |
4.16 |
1.835 |
.184 |
3.80 |
4.52 |
1 |
7 |
Medium Users |
204 |
4.04 |
1.893 |
.133 |
3.78 |
4.30 |
2 |
7 |
|
Heavy Users |
284 |
5.01 |
1.195 |
.071 |
4.87 |
5.15 |
3 |
7 |
|
Total |
588 |
4.53 |
1.648 |
.068 |
4.40 |
4.66 |
1 |
7 |
|
Would recommend company to a friend |
Light Users |
104 |
3.46 |
1.131 |
.111 |
3.24 |
3.68 |
2 |
6 |
Medium Users |
204 |
4.92 |
.494 |
.035 |
4.85 |
4.98 |
4 |
6 |
|
Heavy Users |
284 |
6.35 |
.477 |
.028 |
6.29 |
6.40 |
6 |
7 |
|
Total |
592 |
5.35 |
1.260 |
.052 |
5.25 |
5.45 |
2 |
7 |
|
Loyalty for Nike |
Light Users |
104 |
3.92 |
1.499 |
.147 |
3.63 |
4.21 |
2 |
6 |
Medium Users |
204 |
4.14 |
1.563 |
.109 |
3.92 |
4.35 |
2 |
6 |
|
Heavy Users |
284 |
3.92 |
1.575 |
.093 |
3.73 |
4.10 |
2 |
7 |
|
Total |
592 |
3.99 |
1.559 |
.064 |
3.87 |
4.12 |
2 |
7 |
Analysis and Results
Test of Homogeneity of Variances |
|||||
Levene Statistic |
df1 |
df2 |
Sig. |
||
Knowledge of the company |
Based on Mean |
137.679 |
2 |
589 |
.000 |
Based on Median |
43.167 |
2 |
589 |
.000 |
|
Based on Median and with adjusted df |
43.167 |
2 |
366.541 |
.000 |
|
Based on trimmed mean |
130.226 |
2 |
589 |
.000 |
|
Satisfacition with the company |
Based on Mean |
34.012 |
2 |
589 |
.000 |
Based on Median |
19.318 |
2 |
589 |
.000 |
|
Based on Median and with adjusted df |
19.318 |
2 |
543.743 |
.000 |
|
Based on trimmed mean |
28.470 |
2 |
589 |
.000 |
|
Preference for Nike |
Based on Mean |
3.007 |
2 |
589 |
.050 |
Based on Median |
2.032 |
2 |
589 |
.132 |
|
Based on Median and with adjusted df |
2.032 |
2 |
534.316 |
.132 |
|
Based on trimmed mean |
3.259 |
2 |
589 |
.039 |
|
Purchase Intention for Nike |
Based on Mean |
51.499 |
2 |
585 |
.000 |
Based on Median |
48.655 |
2 |
585 |
.000 |
|
Based on Median and with adjusted df |
48.655 |
2 |
555.807 |
.000 |
|
Based on trimmed mean |
49.574 |
2 |
585 |
.000 |
|
Would recommend company to a friend |
Based on Mean |
155.697 |
2 |
589 |
.000 |
Based on Median |
75.229 |
2 |
589 |
.000 |
|
Based on Median and with adjusted df |
75.229 |
2 |
489.408 |
.000 |
|
Based on trimmed mean |
152.051 |
2 |
589 |
.000 |
|
Loyalty for Nike |
Based on Mean |
.438 |
2 |
589 |
.645 |
Based on Median |
1.134 |
2 |
589 |
.322 |
|
Based on Median and with adjusted df |
1.134 |
2 |
466.890 |
.323 |
|
Based on trimmed mean |
.333 |
2 |
589 |
.717 |
Table 1
Homogeneity of variance test was employed to test whether there was equality of variance in customer attitudes. The null hypothesis in this test maintains equality of variance (Derrick, Toher, & White, 2017). Three attitudes; satisfaction with the company, purchase intention for Nike and knowledge with the company had p-values equal to 0.00 which is less than level of significance 0.05. This means that null hypothesis is violated in all the three attitudes thus it is concluded that at least one item has a different mean. On the other hand, under loyalty for Nike, the p-values (0.64) was greater than level of significance 0.05. The alternative hypothesis is accepted thus it is concluded that at least one variance is different (Leigh, 2008). ANOVA |
||||||
Sum of Squares |
df |
Mean Square |
F |
Sig. |
||
Knowledge of the company |
Between Groups |
1034.437 |
2 |
517.218 |
315.401 |
.000 |
Within Groups |
965.888 |
589 |
1.640 |
|||
Total |
2000.324 |
591 |
||||
Satisfaction with the company |
Between Groups |
959.259 |
2 |
479.630 |
538.032 |
.000 |
Within Groups |
525.065 |
589 |
.891 |
|||
Total |
1484.324 |
591 |
||||
Preference for Nike |
Between Groups |
461.224 |
2 |
230.612 |
89.966 |
.000 |
Within Groups |
1509.803 |
589 |
2.563 |
|||
Total |
1971.027 |
591 |
||||
Purchase Intention for Nike |
Between Groups |
129.379 |
2 |
64.690 |
25.830 |
.000 |
Within Groups |
1465.070 |
585 |
2.504 |
|||
Total |
1594.449 |
587 |
||||
Would recommend company to a friend |
Between Groups |
692.399 |
2 |
346.199 |
829.181 |
.000 |
Within Groups |
245.919 |
589 |
.418 |
|||
Total |
938.318 |
591 |
||||
Loyalty for Nike |
Between Groups |
6.460 |
2 |
3.230 |
1.331 |
.265 |
Within Groups |
1429.513 |
589 |
2.427 |
|||
Total |
1435.973 |
591 |
Table 2
- Attitude 1: Knowledge of the company
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal
Attitude 2: Satisfaction with the company
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal (Howell, 2007).
- Attitude 3: Preference for Nike
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal
- Attitude 4: Purchase intention for Nike
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal (Hinkelmann & Kempthorne, 2010).
- Attitude 5: Would recommend company to a friend?
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal
- Attitude 6: Loyalty for Nike
The test found the p-value (0.27) to be greater than the level of significance (0.05). The conclusion then is, all the means are equal (Gelman, 2005).
Multiple Comparisons |
|||||||
Bonferroni |
|||||||
Dependent Variable |
(J) Webiste User Group |
Mean Difference (I-J) |
Std. Error |
Sig. |
95% Confidence Interval |
||
Lower Bound |
Upper Bound |
||||||
Knowledge of the company |
Light Users |
Medium Users |
-2.056* |
.154 |
.000 |
-2.43 |
-1.69 |
Heavy Users |
-3.605* |
.147 |
.000 |
-3.96 |
-3.25 |
||
Medium Users |
Light Users |
2.056* |
.154 |
.000 |
1.69 |
2.43 |
|
Heavy Users |
-1.549* |
.118 |
.000 |
-1.83 |
-1.27 |
||
Heavy Users |
Light Users |
3.605* |
.147 |
.000 |
3.25 |
3.96 |
|
Medium Users |
1.549* |
.118 |
.000 |
1.27 |
1.83 |
||
Satisfaction with the company |
Light Users |
Medium Users |
-2.854* |
.114 |
.000 |
-3.13 |
-2.58 |
Heavy Users |
-3.532* |
.108 |
.000 |
-3.79 |
-3.27 |
||
Medium Users |
Light Users |
2.854* |
.114 |
.000 |
2.58 |
3.13 |
|
Heavy Users |
-.678* |
.087 |
.000 |
-.89 |
-.47 |
||
Heavy Users |
Light Users |
3.532* |
.108 |
.000 |
3.27 |
3.79 |
|
Medium Users |
.678* |
.087 |
.000 |
.47 |
.89 |
||
Preference for Nike |
Light Users |
Medium Users |
-.362 |
.193 |
.183 |
-.83 |
.10 |
Heavy Users |
-1.989* |
.184 |
.000 |
-2.43 |
-1.55 |
||
Medium Users |
Light Users |
.362 |
.193 |
.183 |
-.10 |
.83 |
|
Heavy Users |
-1.627* |
.147 |
.000 |
-1.98 |
-1.27 |
||
Heavy Users |
Light Users |
1.989* |
.184 |
.000 |
1.55 |
2.43 |
|
Medium Users |
1.627* |
.147 |
.000 |
1.27 |
1.98 |
||
Purchase Intention for Nike |
Light Users |
Medium Users |
.121 |
.193 |
1.000 |
-.34 |
.58 |
Heavy Users |
-.854* |
.184 |
.000 |
-1.30 |
-.41 |
||
Medium Users |
Light Users |
-.121 |
.193 |
1.000 |
-.58 |
.34 |
|
Heavy Users |
-.975* |
.145 |
.000 |
-1.32 |
-.63 |
||
Heavy Users |
Light Users |
.854* |
.184 |
.000 |
.41 |
1.30 |
|
Medium Users |
.975* |
.145 |
.000 |
.63 |
1.32 |
||
Would recommend company to a friend |
Light Users |
Medium Users |
-1.455* |
.078 |
.000 |
-1.64 |
-1.27 |
Heavy Users |
-2.887* |
.074 |
.000 |
-3.06 |
-2.71 |
||
Medium Users |
Light Users |
1.455* |
.078 |
.000 |
1.27 |
1.64 |
|
Heavy Users |
-1.432* |
.059 |
.000 |
-1.57 |
-1.29 |
||
Heavy Users |
Light Users |
2.887* |
.074 |
.000 |
2.71 |
3.06 |
|
Medium Users |
1.432* |
.059 |
.000 |
1.29 |
1.57 |
||
Loyalty for Nike |
Light Users |
Medium Users |
-.214 |
.188 |
.763 |
-.66 |
.24 |
Heavy Users |
.008 |
.179 |
1.000 |
-.42 |
.44 |
||
Medium Users |
Light Users |
.214 |
.188 |
.763 |
-.24 |
.66 |
|
Heavy Users |
.222 |
.143 |
.364 |
-.12 |
.57 |
||
Heavy Users |
Light Users |
-.008 |
.179 |
1.000 |
-.44 |
.42 |
|
Medium Users |
-.222 |
.143 |
.364 |
-.57 |
.12 |
||
*. The mean difference is significant at the 0.05 level. |
Table 3
Difference in mean for light, medium and heavy users
Hypothesis
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, not all the means are equal
However for Nike products, the hypothesis and conclusion was as below;
The test found the p-value (0.27) to be greater than the level of significance (0.05). The conclusion then is, all the means are equal.
Group Statistics |
|||||
Gender |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
Knowledge of the company |
Female |
388 |
5.02 |
1.961 |
.100 |
Male |
204 |
5.78 |
1.463 |
.102 |
|
Satisfaction with the company |
Female |
388 |
5.18 |
1.595 |
.081 |
Male |
204 |
5.29 |
1.567 |
.110 |
|
Preference for Nike |
Female |
388 |
3.19 |
1.876 |
.095 |
Male |
204 |
4.22 |
1.516 |
.106 |
|
Purchase Intention for Nike |
Female |
388 |
4.67 |
1.619 |
.082 |
Male |
200 |
4.26 |
1.675 |
.118 |
|
Loyalty for Nike |
Female |
388 |
3.44 |
1.588 |
.081 |
Male |
204 |
5.04 |
.768 |
.054 |
|
Would recommend company to a friend |
Female |
388 |
5.40 |
1.255 |
.064 |
Male |
204 |
5.25 |
1.267 |
.089 |
Table 4
Independent Samples Test |
||||||||||
Levene’s Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
Knowledge of the company |
Equal variances assumed |
56.606 |
.000 |
-4.892 |
590 |
.000 |
-.764 |
.156 |
-1.070 |
-.457 |
Equal variances not assumed |
-5.347 |
522.857 |
.000 |
-.764 |
.143 |
-1.044 |
-.483 |
|||
Satisfaction with the company |
Equal variances assumed |
.024 |
.877 |
-.867 |
590 |
.386 |
-.119 |
.137 |
-.388 |
.150 |
Equal variances not assumed |
-.872 |
419.112 |
.384 |
-.119 |
.136 |
-.387 |
.149 |
|||
Preference for Nike |
Equal variances assumed |
14.901 |
.000 |
-6.765 |
590 |
.000 |
-1.030 |
.152 |
-1.329 |
-.731 |
Equal variances not assumed |
-7.223 |
493.730 |
.000 |
-1.030 |
.143 |
-1.310 |
-.750 |
|||
Purchase Intention for Nike |
Equal variances assumed |
2.724 |
.099 |
2.876 |
586 |
.004 |
.410 |
.143 |
.130 |
.690 |
Equal variances not assumed |
2.845 |
390.123 |
.005 |
.410 |
.144 |
.127 |
.694 |
|||
Loyalty for Nike |
Equal variances assumed |
246.135 |
.000 |
-13.543 |
590 |
.000 |
-1.596 |
.118 |
-1.827 |
-1.364 |
Equal variances not assumed |
-16.471 |
586.589 |
.000 |
-1.596 |
.097 |
-1.786 |
-1.406 |
|||
Would recommend company to a friend |
Equal variances assumed |
.157 |
.692 |
1.442 |
590 |
.150 |
.157 |
.109 |
-.057 |
.371 |
Equal variances not assumed |
1.437 |
409.319 |
.151 |
.157 |
.109 |
-.058 |
.372 |
Table 5
- Test for equality of variance in attitude (knowledge of the company) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, there is a significant difference in the two variances.
- Test for equality of variance in attitude (satisfaction with the company) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The test found the p-value (0.27) to be greater than the level of significance (0.05). The conclusion then is, all the means in attitude levels between the males and females are equal.
- Test for equality of variance in attitude (preference for Nike) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, there is a significant difference in the two variances.
- Test for equality of variance in attitude (purchase intention for Nike) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, there is a significant difference in the two variances.
- Test for equality of variance in attitude (loyalty for Nike) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The test found the p-value (0.00) to be less than the level of significance (0.05). The conclusion then is, there is a significant difference in the two variances.
- Test for equality of variance in customer attitude (would recommend company to a friend) between male and female
Hypothesis
H0: Variance1 = Variance2
Versus
H1: Variance1 ≠ Variance2
The p-value calculated (0.15) is great compared to the alpha value (0.05). This means that null hypothesis is accepted thus equality of variance in attitude levels between the males and females.
One sample t-test for the mean satisfaction level (3.5)
Hypothesis
H0: µ = 3.5
Versus
H1: µ ≠ 3.5
Test results table is as shown below
One-Sample Statistics |
||||
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
Satisfaction with the company |
592 |
5.22 |
1.585 |
.065 |
Table 6
One-Sample Test |
||||||
Test Value = 3.5 |
||||||
t |
df |
Sig. (2-tailed) |
Mean Difference |
95% Confidence Interval of the Difference |
||
Lower |
Upper |
|||||
Satisfaction with the company |
26.349 |
591 |
.000 |
1.716 |
1.59 |
1.84 |
Table 7
Since the p-value calculated (0.00) is less compared to the alpha value (0.05). This means that null hypothesis is not accepted thus the mean satisfaction level is not 3.5.
The research team found many revelations from the data analysis results. The product which fetched the highest profit was the customised products ($ 25). The second best product in terms of mean profit was men’s shoes ($15.5). The product that fetched the least profit was boys clothing. To add on, the product which had the highest mean cost was the customised products ($9.9). The second costly product was girls’ shoes ($8). The product that was less costly was boys’ clothing. The research also found that there was no significant difference in the attitude levels between males and females.
Reference
Derrick, B., Toher, D., & White, P. (2017). How to compare the mean of two samples that include paired observations and independent observations. Quantitative methods for Psychology, 13(2), 120 – 126.
Gelman, A. (2005). Analysis of variance? Why it is more important than ever. The anals of Statistics, 33, 1 – 53.
Hinkelmann, K., & Kempthorne, O. (2010). Design and analysis of experiments (5 ed., Vol. 8).
Howell, D. C. (2007). Statistical methods for Psychology (3 ed., Vol. 5).
Leigh, E. S. (2008). Consumer rites. Selling of American Holidays, 6(3), 106 – 191.