Data: Qualitative vs Quantitative Variables

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Questions and Answers

What is the term for a single numerical fact before it has been processed or organized?

  • Datum (correct)
  • Statistic
  • Variable
  • Information

Which of the following best describes qualitative data?

  • Variables with non-numeric characteristics (correct)
  • Variables with numeric characteristics
  • Data generally known as statistical data
  • Data that can only be discrete

Which of the following is an example of quantitative data?

  • Sales volume (correct)
  • Hair color
  • Honesty
  • Gender

What distinguishes ratio data from interval data?

<p>Ratio data has a known unit of measurement and a zero point that indicates the absence of what is being measured. (D)</p> Signup and view all the answers

Which level of measurement do jersey numbers represent?

<p>Nominal (A)</p> Signup and view all the answers

Which represents an example of ordinal data?

<p>Student rankings (C)</p> Signup and view all the answers

Which of the following data types includes a meaningful zero point?

<p>Ratio (D)</p> Signup and view all the answers

What is the primary characteristic of nominal data?

<p>Mutually exclusive categories (B)</p> Signup and view all the answers

Which data collection method is characterized by high accuracy, detailed data, and independence?

<p>Primary data (A)</p> Signup and view all the answers

What is a key disadvantage of primary data collection?

<p>Time-consuming nature (B)</p> Signup and view all the answers

Which technique is NOT a typical method for collecting primary data?

<p>Reviewing existing literature (D)</p> Signup and view all the answers

What is the primary purpose of a cover letter in a questionnaire?

<p>To introduce the survey conductor and state the survey's objectives (B)</p> Signup and view all the answers

When designing a questionnaire, what should be avoided?

<p>Questions of a sensitive nature (A)</p> Signup and view all the answers

What is the purpose of pre-testing a questionnaire?

<p>To identify potential issues with the questionnaire (B)</p> Signup and view all the answers

In the context of questionnaire design, what is the purpose of cross-checks?

<p>To verify the consistency and reliability of responses (D)</p> Signup and view all the answers

What differentiates a highly structured questionnaire from a highly unstructured one?

<p>The degree to which responses are predetermined (A)</p> Signup and view all the answers

What is the characteristic of a disguised questionnaire?

<p>Hidden research purpose (D)</p> Signup and view all the answers

Which of the following is a key advantage of using secondary data?

<p>Readily available and less costly (D)</p> Signup and view all the answers

What is a significant disadvantage of secondary data?

<p>Questionable reliability and source (A)</p> Signup and view all the answers

When using secondary data, what factor needs to be considered?

<p>Suitability of the data (B)</p> Signup and view all the answers

What is the definition of a 'population' in statistics?

<p>A complete set of observations (C)</p> Signup and view all the answers

What is a 'parameter' in statistics?

<p>A number describing a whole population (A)</p> Signup and view all the answers

What is the purpose of taking a 'sample' from a population?

<p>To make generalizations about the population (D)</p> Signup and view all the answers

What is a 'statistic' in the context of data analysis?

<p>A number describing a sample (C)</p> Signup and view all the answers

What is a 'census survey'?

<p>A survey referring to the entire population (C)</p> Signup and view all the answers

How does a sample survey differ from a census survey?

<p>It refers to a portion of the population. (A)</p> Signup and view all the answers

In a study examining the average amount of money spent on school supplies by first-year college students, what represents the 'variable'?

<p>The amount of money spent by one first-year student (B)</p> Signup and view all the answers

In the context of research, what is the key difference between a sample and a population?

<p>A sample is a subset of a population. (B)</p> Signup and view all the answers

In statistical terms, what does the term 'internal data' refer to?

<p>Data that are the by-product of routine business record keeping (D)</p> Signup and view all the answers

Which factor is LEAST important when considering the suitability of secondary data for a research project?

<p>The means of compensating participants (B)</p> Signup and view all the answers

What is the most significant ethical consideration when designing a 'disguised questionnaire'?

<p>Minimizing potential deception and ensuring no harm to participants. (C)</p> Signup and view all the answers

In a highly skewed dataset, which measure of central tendency is least likely to accurately represent the 'typical' value?

<p>Mean (C)</p> Signup and view all the answers

Which of the following is the most significant limitation of using 'internal data' for forecasting future trends?

<p>Internal data may reflect past performance but not account for external market changes. (B)</p> Signup and view all the answers

A researcher aims to study sensitive behaviors using a questionnaire but wants to minimize response bias. Which strategy is LEAST likely to reduce this bias?

<p>Using complex, technical language. (D)</p> Signup and view all the answers

Which of the following data collection scenarios would most likely result in selection bias?

<p>An online poll where participants self-select to respond. (D)</p> Signup and view all the answers

In the context of statistical data, what differentiates the 'interquartile range' (IQR) from the 'standard deviation' as a measure of variability?

<p>The standard deviation is based on all data points, while the IQR focuses on the middle 50% of the data. (C)</p> Signup and view all the answers

A questionnaire includes several negatively worded questions (e.g., "I disagree that the service was not helpful"). What is the primary risk associated with this approach?

<p>Increased ambiguity and potential for misinterpretation. (A)</p> Signup and view all the answers

A researcher is developing a survey to assess customer satisfaction with a new product. To minimize social desirability bias, which technique would be MOST effective?

<p>Using a scale with neutral or indirect wording, and ensuring anonymity. (B)</p> Signup and view all the answers

Consider a scenario where a statistician aims to estimate the average height of adult women in a country with vastly different ethnic groups. They only sample women from the capital city. What critical error does this introduce in their study design?

<p>Sampling bias, because the capital city may not represent the country's ethnic diversity. (C)</p> Signup and view all the answers

A data analyst is tasked with studying the impact of a new teaching method on student test scores. They collect data from two classes: one taught with the new method and one with the traditional method. They discover that students in the new method class had significantly higher scores, but ALL the students in that class had selected to be there. What is the most significant confounding variable affecting the conclusion?

<p>The self-selection bias in the students learning method. (B)</p> Signup and view all the answers

Flashcards

What is Data?

Values of qualitative and quantitative variables; raw, unorganized facts needing processing.

What is Information?

Data that has been processed, organized, structured, and presented in a useful context.

What is Quantitative data?

Variables of numeric characteristics.

What is Qualitative data?

Variables of non-numeric characteristics.

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What is Nominal data?

Data with labels/names; mutually exclusive categories.

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What is Ordinal data?

Data with relative ranking/rating based on qualitative variable.

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What is Interval data?

Data based on a scale where zero has a meaning.

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What is Ratio data?

Data on a scale with a known unit of measurement, zero has no meaning.

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What is Primary Data?

Data collected by an investigator for a specific statistical enquiry.

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What is Internal Data?

Data that is a by-product of routine business record keeping.

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What is Secondary Data?

Data collected earlier by a different person for a different purpose.

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What are Variables?

A factor or characteristic that can take on different possible values or outcomes.

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What is Population?

A complete set of observations from the entire group of individuals under consideration.

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What is a Parameter?

A number that describes a whole population (e.g., population mean).

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What is a Sample?

A set of data drawn to represent population.

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What is a Statistic?

A number describing a sample (e.g., sample mean).

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What is a Survey?

A process to obtain the desired data (e.g., via questionnaires).

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What is Sample Size?

The number of items under investigation in a sample.

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What is Census Survey?

Obtaining data from the entire population.

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What is Sample Survey?

Obtaining data from a portion of the population.

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Study Notes

Data

  • Data consists of qualitative and quantitative variables, representing a collection of numerical facts.
  • Data is raw and unorganized facts that need processing, and a single numerical fact is called a datum.
  • Information is defined as data that has been processed, organized, structured, or presented in a context.
  • Quantitative data includes numeric characteristics, generally known as statistical data which can be discrete (e.g., students rank) or continuous (e.g., CGPA, weight).
  • Qualitative data includes non-numeric characteristics such as gender, hair color, and honesty.
  • Examples of quantitative data are sales volume and scores, while examples of qualitative data are gender, hair color, and honesty.

Level of Measurements

  • Nominal data have labels or names, and are mutually exclusive (e.g., gender, jersey number).
  • Ordinal data have relative ranking and rating of items based on qualitative variables (e.g., students rank).
  • Interval data are based on a scale where zero has a meaning (e.g., racial tolerance, measure of dress).
  • Ratio data are based on a scale with a known unit of measurement, where zero has no meaning (e.g., wages, money, interest rate, distance).

Data Collection

  • Data can be obtained from primary, internal, and secondary sources.
  • Primary data is collected by an investigator for statistical enquiry, using questionnaires, personal interviews, mail, or telephone, and observation.
  • Advantages of primary data include high accuracy, detailed depiction, reliability, and independence.
  • Disadvantages of primary data collection are time consumption, high financial costs, and the need for skilled personnel.
  • Internal data is a byproduct of routine business record keeping (e.g., sales amount, R&D).
  • Secondary data were collected at an earlier time by a different person for a different purpose, obtainable from journals, reports, government publications, and research organization publications.
  • Advantages of secondary data include being readily available, less costly, time-saving, and accurate.
  • Disadvantages of secondary data include questionable reliability and sources, the need for extra precaution, and potential unverifiable accuracy.
  • Factors to consider when using secondary data: suitability, reliability, unbiased collecting agency, accuracy, adequacy, and sample representativeness.

Designing a Questionnaire

  • A cover letter should be included by the person in charge containing an introduction and survey objectives.
  • Minimize the number of questions, arranging them logically, keeping them short and simple.
  • Sensitive questions should be avoided.
  • Instructions to informants should be included.
  • Footnotes should be added for clarifications if required.
  • Questions should be capable of objective answers.
  • Answers to questions should not require calculations.
  • Pre-testing of the questionnaire should occur.
  • Include cross-checks and incentives to respondents.
  • Method of tabulation to be used should be stated.
  • A highly structured questionnaire has predetermined questions and responses.
  • A highly unstructured questionnaire has questions that are tossed predetermined, allowing free response.
  • A disguised questionnaire hides the purpose of the study, while an undisguised questionnaire makes it obvious.

Key Terms

  • Variables are factors or characteristics with different possible values, qualitative or quantitative (e.g., income, height).
  • Population is a complete set of observations of the entire group of individuals under consideration, commonly represented by 'N' (e.g., total number of students at a university).
  • Parameter describes a number describing a whole population (e.g., population mean).
  • Sample is a set of data drawn from a population for valid generalization, commonly represented by 'n'.
  • Statistic describes a number describing a sample (e.g., sample mean).
  • Sample size represents the number of items under investigation in a sample.
  • Survey is a process of obtaining desired data.
  • Census survey obtains data referring to the entire population, including total coverage.
  • Sample survey obtains data referring to a portion of the entire population, including only a partial coverage.

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