Research Process & Basic Concepts of Statistics

Question 1

Key steps in the research process

Answer 1

1. Define the research problem, the target phenomenon, what is know, what is gap.
2. Develop a research plan.
3. Theoretical framework
4. Collect data.
5. Analyze data.
6. Report findings

Question 2

Types of Variables:

Answer 2

Nominal Variables
Ordinal Variables
Interval Variables
Ratio Variables

Question 3

Nominal Variables

Answer 3

Categories without a specific order (e.g., gender, nationality).
- Distinct categories
- No overlapping categories
- Similar/different
- No ranking is implied
- Two categories (e.g. gender) and multiple categories (e.g. nationality)

Question 4

Ordinal Variables

Answer 4

Categories with a defined order, but no consistent difference between categories (e.g., satisfaction level: low, medium, high).
- Ranking is implied (either natural or defined)
- Does not account for the amount of differences between the categories
- Order of goodness, opinion poll …
- E.g. military ranks, fully agree ↔ fully disagree
- Note! For example opinions measured on a Likert-scale is an exception, because
although the variable is measured on ordinal scale, calculating means is allowed

Question 5

Interval Variables

Answer 5

Numeric scales with equal intervals but no true zero (e.g., temperature in Celsius).
- Numeric variables
- Ordered scale in which the difference between measurements is a meaningful quantity
- Variables have measurement units
- Additions and subtractions are allowed
- Does not involve a true zero point where the characteristic ”disappears”
- E.g. temperature in °C or F or year of birth or pH-value (0-14)

Question 6

Ratio Variables

Answer 6

Numeric scales with equal intervals and a true zero (e.g., height, weight, income).
- Ordered scale
- Involves a true zero point
- Can be multiplied by a constant
- E.g. length, weight, age

Question 7

Identify variables in real-world situations:
Example 1: Age of participants in a survey

Answer 7

Ratio Variable (It has a true zero and the intervals between values are meaningful).

Question 8

Identify variables in real-world situations: Example 2: Customer satisfaction levels: “Very Dissatisfied,” “Neutral,” “Very Satisfied.”

Answer 8

Answer: Ordinal Variable (There is a clear order, but the differences between levels are not measurable).

Question 9

Identify variables in real-world situations: Example 3: Types of cuisine (Italian, Chinese, Mexican) ordered in a restaurant

Answer 9

Answer: Nominal Variable (There is no specific order in the categories).

Question 10

Identify variables in real-world situations: Temperature measured in degrees Fahrenheit.

Answer 10

Answer: Interval Variable (It has equal intervals, but no true zero).

Question 11

Population is

Answer 11

consists of all the items or individuals about which you want to draw a conclusion (e.g. personnel, products, habitants …)

Question 12

Sample is

Answer 12

the portion of the population selected for analysis

Question 13

Measuring

Answer 13

means linking numerical values to research objects

Question 14

Observation unit i.e. statistical unit is

Answer 14

a single research object (e.g. person, product, habitant …)

Question 15

Observation is

Answer 15

the measured result (value) that is related to one research object

Question 16

A variable is

Answer 16

a characteristic of an item or
an individual. In empirical research variables are measured

Question 17

Variables are classified

Answer 17

as either being quantitative i.e. numerical (such as a person’s
weight) or qualitative i.e. categorical (such as a person’s sex).

Question 18

Numerical variables are further classified as

Answer 18

having either discrete or continuous values. Continuous variables are measured and can have any value within a range, while discrete variables are counted and can only take distinct, whole number values.

Question 19

Continuous variables

Answer 19

Continuous variables can take an infinite number of values within a given range. These variables are measurable and can include any value, including decimals and fractions.
Examples:
Height (e.g., 170.5 cm)
Weight (e.g., 68.2 kg)
Temperature (e.g., 36.7°C)
Characteristics:
Can take any value within a certain range.
Often result from measurements.
Between any two values, there can always be another possible value (e.g., between 2 and 3, there is 2.5).

Question 20

Discrete variables

Answer 20

Discrete variables have numerical values that arise from a counting process or just
separate different values from each other. (e.g. number of things) and can only take specific, distinct values, usually integers. These values are countable and have a clear distinction between one value and the next.
Examples:
Number of children in a family (e.g., 2, 3, 4)
Number of cars owned (e.g., 1, 2, 3)
Number of students in a class (e.g., 25, 26, 27)
Characteristics:
Can only take specific values, no fractions or decimals.
Often result from counting.
There are gaps between the possible values (e.g., you can have 2 children or 3 children, but not 2.5 children).

Question 21

Delimitations

Answer 21

• Exact delimitations should be defined for the
  study (target phenomenon is usually broad)
• In delimitations you define what is included in the
  research and what is left outside.
• Theoretical delimitations: you explain which
  theoretical concepts / theoretical models you will
  use in your study.
• Empirical delimitations: what is included in
  empirical part; a specific case‐company, or
  specific customer segment, or specific market.
• Everything needs to be justified.

It’s crucial to narrow down the research topic by establishing theoretical and empirical delimitations to focus on specific aspects of the phenomenon.

Example from the Lecture: The lecturer provided an example where a supermarket might focus only on student customers, excluding other types of customers as part of the empirical delimitation.

Question 22

Variables in figure

Answer 22

Qualitative
- Nominal (age, nationality)

Quantitative
- Descrete (number of kids)
- Ordinal scale (amount of students, military ranks)

• Continuous (weight)
  - Ordinal scale (pain level on a scale from 0 to 10)
  - Interval Scale (numerical, no zero: Tempetrature)
  - Ratio Scale (numerical, with zero: Age)

Question 23

which is the measurement level: age

Answer 23

Age:

Measurement Level: Ratio
Explanation: Age is measured on a numeric scale with a true zero (0 years means no age). It allows for meaningful comparisons and calculations (e.g., someone who is 20 years old is twice as old as someone who is 10).

Question 24

which is
the measurement level: amount of students

Answer 24

Amount of Students:

Measurement Level: Ratio
Explanation: The number of students is a countable quantity with a true zero (0 students means there are no students). It allows for operations such as addition and multiplication, making it a ratio variable.

Question 25

which is the measurement level: nationality

Answer 25

Nationality: Measurement Level: Nominal Explanation: Nationality categorizes individuals into distinct groups (e.g., American, French, Japanese) without any inherent order or ranking. The values are simply labels representing different categories.

Question 26

which is the measurement level: temperature

Answer 26

Temperature: Measurement Level: Interval Explanation: Temperature is measured on a scale (e.g., Celsius or Fahrenheit) that has equal intervals, but it does not have a true zero point in the same way that ratio variables do. For example, 0°C does not mean "no temperature."

Question 27

which is the measurement level: military ranks

Answer 27

Military Ranks: Measurement Level: Ordinal Explanation: Military ranks indicate a specific order or hierarchy (e.g., Private, Corporal, Sergeant) but do not have consistent intervals between them.

Question 28

which is the measurement level: gender

Answer 28

Gender: Measurement Level: Nominal Explanation: Gender categorizes individuals into distinct groups (e.g., Male, Female, Non-binary) without any inherent order.

Question 29

which is the measurement level: Department 1 Business Administration 2 International Business 3 Other

Answer 29

Department (1 Business Administration, 2 International Business, 3 Other): Measurement Level: Ordinal Explanation: Although the categories represent different departments, they are numbered and imply a ranking or order, but the differences between categories may not be meaningful.

Question 30

which is the measurement level: Year of studies ___ year

Answer 30

Year of studies ___ year: Measurement Level: Ratio Explanation: The year of study (e.g., 1st year, 2nd year) can be treated as a numeric variable with a true zero (indicating no years completed) and allows for meaningful comparisons.

Question 31

which is the measurement level: Estimate, how much you usually Participate in lessons? ___ % of lessons

Answer 31

Estimate, how much you usually participate in lessons? ___ % of lessons: Measurement Level: Ratio Explanation: Participation percentage is a continuous variable with a true zero (0% participation means no participation) and allows for meaningful calculations.

Question 32

which is the measurement level: What is your opinion about the lecture times? 1 They suit me well 2 They suit me poorly 3 They are totally unsuitable

Answer 32

What is your opinion about the lecture times? Measurement Level: Ordinal Explanation: The responses (1, 2, 3) indicate an ordered preference regarding the suitability of lecture times but do not have equal intervals between the options.

Question 33

which is the measurement level: Have you passed the following courses? Grade 1 Consumer Behaviour 0 No 1 Yes ___ 2 Marketing Research 0 No 1 Yes ___ 3 Principles of Marketing 0 No 1 Yes ___

Answer 33

Have you passed the following courses? Grade (1 Yes, 0 No): Measurement Level: Nominal Explanation: The responses categorize individuals based on whether they have passed the courses, with no inherent order between categories.

Question 34

which is the measurement level: What was your average grade in high school? _____

Answer 34

What was your average grade in high school? _____: Measurement Level: Ratio Explanation: Average grade is typically measured on a numeric scale (e.g., 0 to 100), with a true zero point (0 indicates no grade) and allows for meaningful calculations and comparisons.

Question 35

which is the measurement level: Evaluate the success of your studies 1 Very good 2 Better than average 3 Average 4 Worse than average 5 Poor

Answer 35

The measurement level for the scale "Evaluate the success of your studies" with responses: Very good Better than average Average Worse than average Poor is ordinal. Explanation: Ordinal level: The responses are ordered from "Very good" to "Poor," indicating a ranking of success in studies. The differences between the levels are not necessarily equal. For example, the gap between "Very good" and "Better than average" may not represent the same degree of difference as between "Worse than average" and "Poor." Thus, this scale is classified as ordinal because it reflects ordered categories without consistent intervals.

Question 36

which is the measurement level: Do you wear glasses/contact lenses? 0 No 1 Yes Strength? ___

Answer 36

The measurement level for the question "Do you wear glasses/contact lenses? 0 No 1 Yes Strength? ___" consists of two parts: Do you wear glasses/contact lenses? This part is measured at the nominal level. Explanation: The responses (0 for "No" and 1 for "Yes") categorize individuals into two distinct groups without any inherent order. Strength? ___ This part, where a numeric value can be filled in (e.g., prescription strength), is measured at the ratio level. Explanation: The strength of the glasses or contact lenses can take any non-negative numeric value, has a true zero (indicating no strength), and allows for meaningful comparisons (e.g., a strength of 2 is greater than a strength of 1). Summary: "Do you wear glasses/contact lenses?": Nominal "Strength?": Ratio

Question 37

which is the measurement level: How many hours a week do you attend to the lessons? ___ hours

Answer 37

The measurement level for the question "How many hours a week do you attend to the lessons? ___ hours" is ratio. Explanation: Ratio level: This variable has a true zero point (0 hours means no attendance), which allows for meaningful comparisons (e.g., someone attending 4 hours is twice as much as someone attending 2 hours). The intervals are consistent; the difference between any two values (e.g., 2 hours and 4 hours) is measurable and meaningful. Thus, this question is considered to be at the ratio level of measurement.

Question 38

which is the measurement level: How often do you practice the following hobbies? Daily = 3 Couple of times a week = 2 Couple of times a month = 1 Not at all = 0

Answer 38

The measurement level for this scale (e.g., Daily = 3, Couple of times a week = 2, Couple of times a month = 1, Not at all = 0) is ordinal. Explanation: The responses are ranked in a specific order (from "Not at all" to "Daily"). However, the intervals between the options may not be equal. For example, the difference between "Daily" and "Couple of times a week" is not necessarily the same as between "Couple of times a week" and "Couple of times a month." Thus, this scale is ordinal because it indicates an order of frequency but doesn't guarantee equal spacing between the options.

Question 39

which is the measurement level: What is your opinion about the following statements? Fully agree Almost agree Hard to say Almost disagree Fully disagree

Answer 39

The measurement level for the scale described in the question (e.g., Fully agree, Almost agree, Hard to say, Almost disagree, Fully disagree) is ordinal. Explanation: The responses have a clear order or ranking (from "Fully agree" to "Fully disagree"). However, the differences between the levels are not necessarily equal or measurable (i.e., the gap between "Fully agree" and "Almost agree" may not be the same as between "Almost disagree" and "Fully disagree"). Thus, this type of data is ordinal, as it represents ordered categories but without consistent intervals between them. Explanation: Ordinal level: The categories (e.g., "Fully agree" to "Fully disagree") are ordered, and the numbers represent this order. Why not interval or ratio?: The difference between "Fully agree" (1) and "Almost agree" (2) may not be the same as the difference between "Almost disagree" (4) and "Fully disagree" (5). The values indicate order but not exact distances between the responses. Thus, this scale is ordinal despite the numerical coding.

Question 40

Compressive and descriptive methods

Answer 40

- Statistical estimation - Compressing data– mean etc. - Assessing distributions - Presenting the results in a less accurate yet more easily interpretable format - Presenting a large quantity of data by a considerably smaller number of figures

Question 41

Methods supporting conclusion making

Answer 41

- Testing statistical significance - Defining probability of the results - Concluding how probable it is that the phenomenon observed in a sample studied applies also in the whole population the study is interested in - Notice! Statistical significance vs. practical significance