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business resource management - data regression

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BUSINESS RESEARCH METHODOLY
PGDM
THIAGARAJAR SCHOOL OF MANAGEMENT
MADURAI, TAMILNADU-625005
Group-7
2313016 Aravindh G
2313107 Nithya Shree N
Ashwath Narayan
2313023 V P
2313098 Munia Samy M
2313162 Vasanth K
Comparative Advertising and Promotions ICE:
Descriptive Statistics
Dependent Variable: Sales Per Day
Comparison Ad
Promotion
Mean
Std. Deviation
N
No
No
7.94
.680
16
Yes
10.93
1.207
14
Total
9.33
1.788
30
No
11.21
1.718
14
Yes
10.40
1.639
15
Total
10.79
1.698
29
No
9.47
2.080
30
Yes
10.66
1.446
29
Total
10.05
1.879
59
Yes
Total
Based on the provided table of Descriptive Statistics for the dependent variable "Sales Per Day"
categorized by the factors "Comparison Ad" and "Promotion",
1. Mean Sales Per Day: - When there was no comparison ad and no promotion, the mean sales per
day was 7.94. - When there was a comparison ad and no promotion, the mean sales per day was 11.21.
- When there was no comparison ad and promotion, the mean sales per day was 10.93. - When there
was a comparison ad and promotion, the mean sales per day was 10.40.
2. Standard Deviation of Sales Per Day: - The standard deviation of sales per day varied across the
different conditions, indicating the variability in sales data within each group.
3. Sample Sizes (N): - The sample sizes varied across the different conditions, ranging from 14 to 30,
influencing the precision of the calculated statistics. These inferences provide insights into the average
sales performance under different conditions of comparison ads and promotions.
The variations in mean sales and standard deviation suggest potential trends or differences that may
exist based on the presence or absence of comparison ads and promotions in the sales strategy.
Further statistical analysis can be conducted to determine the significance of these findings and draw
more definitive conclusions.
Tests of Between-Subjects Effects
Dependent Variable: Sales Per Day
Type III Sum of
Source
Squares
df
Mean Square
F
Sig.
Corrected Model
103.024a
3
34.341
18.550
.000
Intercept
6023.955
1
6023.955
3253.851
.000
compad
27.765
1
27.765
14.997
.000
promo
17.419
1
17.419
9.409
.003
compad * promo
53.233
1
53.233
28.754
.000
Error
101.823
55
1.851
Total
6165.000
59
Corrected Total
204.847
58
a. R Squared = .503 (Adjusted R Squared = .476)
Based on the Tests of Between-Subjects Effects table provided for the dependent variable "Sales Per
Day," the data analysis reveals the following key information:
1. Significance of Factors: - The Corrected Model shows a significant F-value (F = 18.550) with a very
low p-value (Sig. = .000), indicating that the model including the factors "compad" (comparison ad),
"promo" (promotion), and their interaction has a significant impact on sales per day.
- The individual factors "compad" and "promo" also show significant F-values and low p-values,
indicating that both the comparison ad and promotion independently influence sales per day.
2. Interaction Effect: - The interaction term "compad * promo" demonstrates a highly significant Fvalue and a very low p-value, suggesting that there is a significant interaction effect between the
comparison ad and promotion on sales per day.
3. Model Fit: - The R-squared value of 0.503 indicates that the model accounts for 50.3% of the
variance in sales per day, showing a moderately strong relationship between the factors and the
dependent variable.
Based on the analysis of the data and the significant impact of the comparison ad, promotion, and
their interaction on sales per day, the company should consider the following actions:
- Implement targeted marketing strategies that leverage both comparison ads and promotions
simultaneously to maximize sales performance.
- Conduct further research or experiments to explore the specific effects of different types of
comparison ads and promotions on sales to optimize the marketing efforts.
- Monitor and analyze sales data continuously to assess the effectiveness of the implemented
strategies and make data-driven decisions to enhance sales performance further.
Display Demo ICE:
Based on the Descriptives table provided for the variables "Comparison Ad" and "Promotion," the
data analysis reveals the following key information:
1. Comparison Ad: - The mean for the "Comparison Ad" variable ranges from -1.00 to 1.00, indicating
that the responses vary from strongly negative to strongly positive.
- The standard deviation (Std. Deviation) represents the average amount of variation or dispersion in
the responses. For the "Comparison Ad" variable, the standard deviation ranges from 0.000 to 1.155,
suggesting that the responses are relatively spread out.
- The standard error (Std. Error) provides an estimate of the sampling variability of the mean. A lower
standard error indicates a more precise estimate of the mean. For the "Comparison Ad" variable, the
standard error ranges from 0 to 0.667.
2. Promotion: - The mean for the "Promotion" variable ranges from -1.00 to 1.00, indicating a range
of strongly negative to strongly positive responses.
- The standard deviation (Std. Deviation) ranges from 0.000 to 1.155, suggesting variation in the
responses.
- The standard error (Std. Error) ranges from 0 to 0.667. Based on the analysis of the data, here are
some possible suggestions for the company:
- Further analyse the relationship between the "Comparison Ad" and "Promotion" variables and their
impact on the desired outcome, such as sales or customer response.
This could involve conducting statistical tests, regression analysis, or correlation analysis. - Investigate
the responses for the extreme values (-1.00 and 1.00) in both the "Comparison Ad" and "Promotion"
variables to understand the underlying reasons for these strong positive or negative perceptions. This
could involve gathering qualitative feedback or conducting follow-up surveys or interviews.
- Explore any patterns or trends in the data by segmenting it based on other relevant variables, such
as customer demographics or geographic location. This can provide insights into different customer
preferences and help tailor marketing strategies accordingly.
- Continuously collect and analyse data on customer perceptions of the "Comparison Ad" and
"Promotion" variables to track changes over time and identify any shifts in customer preferences or
sentiment.
- Use the findings from the analysis to inform decision-making processes regarding advertising
campaigns, promotional strategies, and overall marketing efforts.
Based on the ANOVA table provided for the variables "Comparison Ad" and "Promotion," the data
analysis reveals the following key information:
1. Comparison Ad: - Between Groups: The sum of squares between groups is 13.969, with 8 degrees
of freedom. The mean square is 1.746.
- Within Groups: The sum of squares within groups is 45.015, with 50 degrees of freedom. The mean
square is 0.900.
- Total: The total sum of squares is 58.983, with 58 degrees of freedom. 2. Promotion: - Between
Groups: The sum of squares between groups is 20.050, with 8 degrees of freedom. The mean square
is 2.506.
- Within Groups: The sum of squares within groups is 38.933, with 50 degrees of freedom. The mean
square is 0.779.
- Total: The total sum of squares is 58.983, with 58 degrees of freedom. Based on this analysis, here
are some possible suggestions for the company:
- Conduct a statistical test, such as an ANOVA, to compare the mean scores between different groups
in the "Comparison Ad" and "Promotion" variables. This can help determine if there are significant
differences in customer perceptions among these groups.
- In the case of the "Comparison Ad" variable, the p-value associated with the F-statistic is 0.074. This
suggests a trend towards significance (p < 0.10), indicating that there might be some differences in
customer perceptions based on the groups. However, further investigation is needed to confirm this.
- In the case of the "Promotion" variable, the p-value associated with the F-statistic is 0.005. This
indicates a statistically significant difference (p < 0.05), suggesting that there are indeed variations in
customer perceptions based on the groups.
- Further analyze the specific groups within each variable to identify which groups show significant
differences in customer perceptions. This can help the company understand the specific factors
influencing customer preferences and tailor their marketing strategies accordingly.
- Consider conducting post-hoc tests, such as Tukey's test or pairwise comparisons, to determine the
specific differences between groups and which groups are significantly different from each other.
- Use the findings from the ANOVA analysis to guide decision-making processes, such as targeting
specific groups with tailored marketing campaigns or adjusting advertising and promotion strategies
based on the preferences of different customer segments.
Sales Promotion and Merchandising ICE:
Between-Subjects Factors
Value Label
Merchandising
N
0
No Merchandising
40
1
Yes
39
Merchandising
Promotion
0
No Promotion
39
1
Yes Promotion
40
Multivariate Testsa
Effect
Intercept
Value
Hypothesis df
Error df
Sig.
Pillai's Trace
.989
3415.345b
2.000
74.000
.000
Wilks' Lambda
.011
3415.345b
2.000
74.000
.000
92.307
3415.345b
2.000
74.000
.000
92.307
3415.345b
2.000
74.000
.000
Pillai's Trace
.878
267.492b
2.000
74.000
.000
Wilks' Lambda
.122
267.492b
2.000
74.000
.000
7.230
267.492b
2.000
74.000
.000
Hotelling's Trace
Roy's Largest Root
merchand
F
Hotelling's Trace
7.230
267.492b
2.000
74.000
.000
Pillai's Trace
.819
167.631b
2.000
74.000
.000
Wilks' Lambda
.181
167.631b
2.000
74.000
.000
4.531
167.631b
2.000
74.000
.000
4.531
167.631b
2.000
74.000
.000
Pillai's Trace
.364
21.173b
2.000
74.000
.000
Wilks' Lambda
.636
21.173b
2.000
74.000
.000
.572
21.173b
2.000
74.000
.000
.572
21.173b
2.000
74.000
.000
Roy's Largest Root
promo
Hotelling's Trace
Roy's Largest Root
merchand * promo
Hotelling's Trace
Roy's Largest Root
a. Design: Intercept + merchand + promo + merchand * promo
b. Exact statistic
Part A:
we can advise the company that both sales promotion and merchandising have a significant effect on
sales as the p-value < 0.001. There is also a significant interaction effect between merchandising and
promotion p-value < 0.001. This means that the effect of merchandising on sales depends on whether
or not there is also a sales promotion, and vice versa.
Both sales promotion and merchandising have a significant effect on sales. There seems to be a lift in
sales when a sales promotion is offered, regardless of whether merchandising is used. There is also a
lift in sales when merchandising is used, regardless of whether a sales promotion is offered. Sales are
likely the lowest in this group. Sales increase compared to the baseline group (no promotion, no
merchandising). Sales increases a lot when both promotion and merchandising is used. We can also
infer that both with promotion and without promotion are independent of each other.
Part A:
Promotions Drive Sales. The data clearly shows a significant increase in sales when promotions are
offered. Customers exposed to promotions (both with and without merchandising) had a much higher
average number of sales compared to those who weren't exposed to promotions.
Merchandising May Have Limited Impact. While the average sale for the "Yes merchandising, no
promotion" group is higher than the "No merchandising, no promotion" group, the difference is smaller
compared to the impact of promotions. This suggests that merchandising alone might not be as effective
as promotions in driving sales.
Given the significant impact of promotions, the company should prioritize promotional strategies.
Part B:
Perception of Weather (Not Driving Results - Ignoring It's Likely a Subjective Measure)
The fact that the company measured "perception of weather" (e.g., "I think the weather is excellent
today") suggests it might influence sales. However, there are reasons to believe it likely doesn't drive
the results we see:
Perception of weather is subjective. What one person considers "excellent" weather, another might
find unpleasant. This subjectivity weakens its value as a reliable metric. The ANOVA results likely
analyzed actual weather data (e.g., temperature, precipitation) which is a more objective measure. If
actual weather data wasn't included, focusing on promotions and merchandising based on the
provided information is safer.
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