Business Case for Statistical Applications

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The Art and Science of Statistical Applications

Statistical applications, such as descriptive statistics, inferential statistics, and predictive analytics, require a combination of both art and science to achieve optimal results.  The art pertains to understanding and articulating the problem, knowing how and what to explore in the data, and generating insights in a story-like fashion based on the statistical output.  The science pertains to the design of experiments for hypothesis testing and the application of statistical and mathematical models and algorithms.

Descriptive statistics are used to explore and understand your data. For example, you will want to examine the distributional characteristics of your data and identify any potential anomalies or outliers in the data. While there are many different types of probability distributions, three of the most common include the Gaussian (e.g., normal distribution), the binomial, and the Poisson distribution. Gaussian distributions are used for quantitative variables that are normally distributed, while binomial distributions are used for binary variables (e.g., pass or fail, positive or negative test result), and Poisson distributions are used for count data (e.g., the number of people who enter a retail shop between 12-1pm on Saturdays).  In addition to looking at univariate distributions (distributions of a single variable), you will also want to look at bivariate (two variables) or multivariate (several variables) relationships between variables using visualizations such as scatter plots.

Inferential statistics are used for testing hypotheses.  For example, you might want to compare groups using t-tests or analysis of variance, or you may want to examine the extent to which a set of variables are correlated.  Inferential statistics are used to estimate population parameters and to explain how things differ, change, or are related.  Often, inferential statistics are used to explain variances within distributions.  Within inferential statistics, there are parametric models and non-parametric models.  Parametric models are bound by statistical assumptions about the distribution such as normality, homogeneity of variance (if comparing groups), linearity, etc.  Non-parametric inferential models are not bound by distributional assumptions.

Predictive analytics are used for making predictions based on an inferential model or a machine learning algorithm.  For example, once you are able to test hypotheses about relationships between variables and/or cause and effect, you can use that information to make predictions about the future such as whether a person will default on a loan, get divorced, commit a crime, contract a disease, or how much money a person will spend on a given purchase. Machine learning algorithms can be as simple as a linear or logistic regression equation or as complex as a deep artificial neural network with many hidden layers with very complex calculations that are not feasible by hand. 

Descriptive, inferential, and predictive statistics are interdependent in that you cannot make predictions without first exploring the data through descriptive statistics and testing relationships or cause and effect.  With that being said, the researcher must be cognizant of the fact that cause and effect cannot be determined without a very rigorous and controlled experiment. Finally, as previously indicated, getting the most out of statistical applications requires more than just mathematical, statistical, or machine learning models. The researcher must be knowledgeable about the content or subject matter of interest and be creative in their approach.

As part of this course, you will need to create a business case that explains why a particular project should be selected, given that resources will need to be allocated to your project. The example below, which is also provided as course interactive, is a practical example of how projects can be prioritized based on strategic alignment, economic factors, and execution feasibility.  Please feel free to modify this template as appropriate for your purposes.

Growth Opportunity Scoring Definitions

 

Evaluation Criteria

Higher Attractiveness / Fit (5 Points)

Medium Attractiveness / Fit (3 Points)

Lower Attractiveness / Fit (1 Point)

Attractiveness

Revenue Potential

3 Year revenue potential of $1,000,000 or more

3 Year revenue potential of $999,999 - $400,000

3 Year revenue potential of $399,999 or less

Pretax Potential

More than 40%

Between 30% - 40%

Less than 30%

Strategic Alignment

Fits a key strategic growth initiative / lever and it fits our culture / business model

Fits a strategic growth initiative / lever

Unclear fit with current business strategies

Client Need

Unmet need validated by potential customers; unmet need with customer request for service

Unmet need identified and confirmed (not with customer); met need with customer openess to service

Unmet need may exist but has not been confirmed; met need with customer not intersted in service

Customers

Targets customer inside domain of interest, and decision maker is in a function we are very familiar with

Targets customer inside our domain of interest and the decision maker is unfamiliar with us

Targets customer outside our domain of interest

Time to Revenue

Less than 6 months to initial revenue

7- 18 months to initial revenue

Greater than 18 months to initial revenue

Investment Required (non employee)

Minor (0 - 10% of revenue potential)

Moderate (10-20% of revenue potential)

Significant (>20% revenue potential)

Progressive

Cutting Edge - Viewed as progressive by the target customer

Leading Edge - Viewed as "second" to the market but considered progressive

Standard - Effective and proven but not progressive

Ability to Execute / Business Fit

Capabilities - Process

Does not require any significant additions to, or enhancement of, our existing processes

Requires enhancement of existing processes, but does not require new processes

Depends on process that do not exist in the business today

Capabilities - Technology Tools

Does not require any significant additions or upgrades to current tools

Requires substantial upgrades to existing tools, but no new tools

Requires new technology tools

Capabilities - Skillsets

Only requires existing leadership, management, and operational skillsets

Requires new skillsets / talent from a leadership/management or an operational perspective (not both)

Requires the addition or new skillsets / talent from both a leadership/management and an operational perspective

Competitors

Competitive set is limited or does not exist (less than 2)

Competitive set is moderate (2-6)

Competitive set is is very robust for our currents offering(s) (7+)

Pricing Model

Pricing terms and mechanics are consistent with current offerings and familiar to the target customer set

Pricing terms and mechanics are different from current offerings or unfamiliar to the target customer set (not both)

Pricing terms and mechanics are different from current offerings and will be unfamiliar to the target customer set

Graphical user interface, application, table  Description automatically generated

Figure 3. Scoring rubric for analytical projects constructed by Shutay (2019).

Once all of the ratings are provided, the scores can be plotted in a four-quadrant chart as depicted below. This chart can be used to prioritize projects and to help substantiate your business case. 

Figure 4. Example of a grid for plotting projects for prioritization constructed by Shutay (2019).

ID

Initiative Name

Score

 

Economic Fit/ Attractiveness (70)

Ability To Execute / Business Fit (30)

Confidence Rating

1

Initiative 1

38

22

90

2

Initiative 2

44

14

55

3

Initiative 3

52

28

80

4

Initiative 4

44

10

75

5

Initiative 5

60

18

80

6

Initiative 6

38

28

75

7

Initiative 7

50

12

65

8

Initiative 8

50

12

65

9

Initiative 9

52

28

80

10

Initiative 10

48

26

65

11

Initiative 11

48

22

60

12

Initiative 12

48

22

60

13

Initiative 13

50

28

75

14

Initiative 14

52

28

70

15

Initiative 15

58

26

85

16

Initiative 16

42

24

90

17

Initiative 17

58

28

90

18

Initiative 18

54

28

95

19

Initiative 19

54

28

95

20

Initiative 20

54

28

100

21

Initiative 21

50

26

100

22

Initiative 22

46

26

80

23

Initiative 23

58

28

100

- Executable/Bus Fit

- Eco. Fit/Attractive

+ Executable/Bus Fit

+ Eco. Fit/Attractive

- Executable/Bus Fit

+ Eco. Fit/Attractive

+ Executable/Bus Fit

- Eco. Fit/Attractive

Video Game Data

Date

Visits

VisitTime

TotalTime

Game

Advertising

Friday

0

0

0

Police

Yes

Saturday

1

0.76

0.76

Police

Yes

Sunday

0

0

0

Police

Yes

Monday

0

0

0

Police

No

Tuesday

0

0

0

Police

No

Wednesday

0

0

0

Police

No

Thursday

0

0

0

Police

No

Friday

0

0

0

Police

No

Saturday

0

0

0

Police

No

Sunday

0

0

0

Police

No

Monday

6

1.33

7.95

Police

Yes

Tuesday

5

2.98

14.9

Police

Yes

Wednesday

0

0

0

Police

Yes

Thursday

7

2.4

16.83

Police

Yes

Friday

0

0

0

Police

Yes

Saturday

0

0

0

Police

Yes

Sunday

1

0.82

0.82

Police

Yes

Monday

8

1.93

15.45

Police

Yes

Tuesday

3

1.33

3.99

Police

No

Wednesday

0

0

0

Police

No

Thursday

0

0

0

Police

No

Friday

0

0

0

Police

No

Friday

1

1.68

1.68

Theif

Yes

Saturday

1

0.67

0.67

Theif

Yes

Sunday

0

0

0

Theif

Yes

Monday

1

1.16

1.16

Theif

No

Tuesday

0

0

0

Theif

No

Wednesday

1

2.88

2.88

Theif

No

Thursday

0

0

0

Theif

No

Friday

0

0

0

Theif

No

Saturday

0

0

0

Theif

No

Sunday

0

0

0

Theif

No

Monday

8

1

7.97

Theif

Yes

Tuesday

3

1.41

4.22

Theif

Yes

Wednesday

0

0

0

Theif

Yes

Thursday

10

2.85

28.45

Theif

Yes

Friday

0

0

0

Theif

Yes

Saturday

1

4.44

4.44

Theif

Yes

Sunday

1

1.23

1.23

Theif

Yes

Monday

6

2.15

12.89

Theif

Yes

Tuesday

0

0

0

Theif

No

Wednesday

0

0

0

Theif

No

Thursday

0

0

0

Theif

No

Friday

0

0

0

Theif

No

[CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] 38 44 52 44 60 38 50 50 52 48 48 48 50 52 58 42 58 54 54 54 50 46 58 22 14 28 10 18 28 12 12 28 26 22 22 28 28 26 24 28 28 28 28 26 26 28 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Economic Fit/Attractiveness Ability to Execute/Business Fit