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Questions and Answers
What characterizes the nominal level of measurement?
What characterizes the nominal level of measurement?
- It is based on the meaningful differences between values.
- It classifies data into mutually exclusive categories. (correct)
- It allows for arithmetic operations between categories.
- It requires an order or ranking of categories.
Which of the following is true regarding ordinal scales?
Which of the following is true regarding ordinal scales?
- They provide a true zero point for measurement.
- They contain categories that cannot be ranked.
- They allow for arithmetic operations like addition and subtraction.
- They can be ordered, but the differences between the ranks are meaningless. (correct)
Which example best represents a nominal scale?
Which example best represents a nominal scale?
- Political party preference such as Republican or Democrat. (correct)
- Ranking of military status from general to private.
- Health status indicators such as very sick, sick, and cured.
- Grade scores like A, B, and C.
Why are interval scales more informative than ordinal scales?
Why are interval scales more informative than ordinal scales?
Which of the following statements about interval scales is incorrect?
Which of the following statements about interval scales is incorrect?
What is a key difference between nominal and ordinal scales?
What is a key difference between nominal and ordinal scales?
In which scale can the comparison operations like inequality (>, <) be performed?
In which scale can the comparison operations like inequality (>, <) be performed?
Which of the following demonstrates a primary limitation of the nominal level of measurement?
Which of the following demonstrates a primary limitation of the nominal level of measurement?
What is the primary distinction between biostatistics and general statistics?
What is the primary distinction between biostatistics and general statistics?
Which of the following is NOT a component of descriptive statistics?
Which of the following is NOT a component of descriptive statistics?
Which measure of central tendency is represented by the value that occurs most frequently in a data set?
Which measure of central tendency is represented by the value that occurs most frequently in a data set?
In the example given about the marks of six students, what does the average mark represent in the context of statistics?
In the example given about the marks of six students, what does the average mark represent in the context of statistics?
Which of the following is a key purpose of inferential statistics?
Which of the following is a key purpose of inferential statistics?
Which of the following components is NOT included in measures of variability?
Which of the following components is NOT included in measures of variability?
What is the outcome of a frequency distribution analysis?
What is the outcome of a frequency distribution analysis?
What does it mean if a statistic is based on a sample rather than a population?
What does it mean if a statistic is based on a sample rather than a population?
What characterizes primary data compared to secondary data?
What characterizes primary data compared to secondary data?
Which of the following is NOT a method for collecting primary data?
Which of the following is NOT a method for collecting primary data?
What must be ensured when using secondary data for analysis?
What must be ensured when using secondary data for analysis?
In the planning stage of collecting primary data, which aspect is NOT relevant?
In the planning stage of collecting primary data, which aspect is NOT relevant?
Which of the following statements about secondary data is incorrect?
Which of the following statements about secondary data is incorrect?
When considering the measurement procedure in primary data collection, which of the following is the least relevant?
When considering the measurement procedure in primary data collection, which of the following is the least relevant?
What is the main purpose of data collection in statistics?
What is the main purpose of data collection in statistics?
Which of the following is a characteristic of primary data?
Which of the following is a characteristic of primary data?
What constitutes statistics in its plural sense?
What constitutes statistics in its plural sense?
In what context is the term biostatistics used?
In what context is the term biostatistics used?
Which of the following best defines statistics in the singular sense?
Which of the following best defines statistics in the singular sense?
What does proper classification of variables in statistics allow for?
What does proper classification of variables in statistics allow for?
Which statement about statistics is true concerning its limitations?
Which statement about statistics is true concerning its limitations?
What is the main purpose of descriptive statistics?
What is the main purpose of descriptive statistics?
Which of the following is NOT a typical application of statistics?
Which of the following is NOT a typical application of statistics?
Which of the following best describes the stages in a statistical investigation?
Which of the following best describes the stages in a statistical investigation?
What is the main objective of the data presentation stage in a statistical investigation?
What is the main objective of the data presentation stage in a statistical investigation?
Which of the following describes the organization of data in a statistical investigation?
Which of the following describes the organization of data in a statistical investigation?
In which stage of statistical investigation is the significance of the data critically evaluated?
In which stage of statistical investigation is the significance of the data critically evaluated?
What is the role of surveys in the data collection stage of statistical investigation?
What is the role of surveys in the data collection stage of statistical investigation?
Which term refers to the totality of individuals or items considered in a study?
Which term refers to the totality of individuals or items considered in a study?
Why is correct interpretation of data interpretation important?
Why is correct interpretation of data interpretation important?
What does data analysis primarily focus on in a statistical investigation?
What does data analysis primarily focus on in a statistical investigation?
When data is organized into a meaningful format, what is this stage commonly referred to as?
When data is organized into a meaningful format, what is this stage commonly referred to as?
What is necessary for an aggregate of numbers to be classified as statistical data?
What is necessary for an aggregate of numbers to be classified as statistical data?
Which of the following statements best defines raw data?
Which of the following statements best defines raw data?
What is the purpose of arranging raw numerical data in an array?
What is the purpose of arranging raw numerical data in an array?
Which statement correctly describes primary sources of data?
Which statement correctly describes primary sources of data?
Which of the following is NOT considered statistical data?
Which of the following is NOT considered statistical data?
What do pollen counts represented on a scale from 1 to 10 reflect?
What do pollen counts represented on a scale from 1 to 10 reflect?
Which of the following is an example of comparing socioeconomic status?
Which of the following is an example of comparing socioeconomic status?
How are times recorded for swimmers completing a race classified?
How are times recorded for swimmers completing a race classified?
Flashcards
Statistics (singular)
Statistics (singular)
The science of collecting, organizing, presenting, analyzing, and interpreting data to make informed decisions.
Statistics (plural)
Statistics (plural)
A collection of numerical facts or figures representing a specific phenomenon.
Biostatistics
Biostatistics
A type of statistics focused on the interpretation of biological and medical data.
Descriptive Statistics
Descriptive Statistics
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Inferential Statistics
Inferential Statistics
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Data Collection
Data Collection
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Scales of Measurement
Scales of Measurement
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Types of Variables
Types of Variables
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Population
Population
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Sample
Sample
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Data Organization
Data Organization
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Data Presentation
Data Presentation
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Data Analysis
Data Analysis
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Data Interpretation
Data Interpretation
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Sample Data
Sample Data
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What is Biostatistics?
What is Biostatistics?
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What is Descriptive Statistics?
What is Descriptive Statistics?
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What is Inferential Statistics?
What is Inferential Statistics?
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What are Measures of Central Tendency?
What are Measures of Central Tendency?
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What are Measures of Variability?
What are Measures of Variability?
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What is a Frequency Distribution?
What is a Frequency Distribution?
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How do you calculate the mean?
How do you calculate the mean?
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How do you find the Median?
How do you find the Median?
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What is data?
What is data?
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What is raw data?
What is raw data?
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What is an array?
What is an array?
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What is a primary source of data?
What is a primary source of data?
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What is a secondary source of data?
What is a secondary source of data?
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Primary Data
Primary Data
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Secondary Data
Secondary Data
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Surveys & Interviews
Surveys & Interviews
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Experiments
Experiments
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Observations
Observations
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Census
Census
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Data Collection in Statistics
Data Collection in Statistics
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Nominal Scale
Nominal Scale
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Ordinal Scale
Ordinal Scale
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Interval Scale
Interval Scale
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Ratio Scale
Ratio Scale
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Nominal Data
Nominal Data
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Ordinal Data
Ordinal Data
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Interval Data
Interval Data
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Ratio Data
Ratio Data
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Study Notes
Introduction to Statistics
- Statistics is defined in two ways:
- Plural (layman's definition): The collection of numerical facts and figures (e.g., birth statistics, death statistics).
- Singular (formal definition): The science of collecting, organizing, presenting, analyzing, and interpreting statistical data to make decisions.
Classification of Statistics
- Descriptive Statistics: Summarizes, organizes, and describes data without drawing conclusions (e.g., graphs, charts, tables, frequency distribution, measures of central tendency, and measures of variability).
- Inferential Statistics: Makes inferences or conclusions about a population based on a representative sample.
Stages in Statistical Investigation
- Data collection (gathering measurements, data, etc.). Methods include telephone surveys, questionnaires, and personal interviews.
- Data organization (summarizing, correcting inconsistencies).
- Data presentation (tables, charts, diagrams, graphs).
- Data analysis (studying the data to draw conclusions).
- Data interpretation (drawing valid conclusions).
Definitions of Basic Terms
- Population: The totality of all individuals, objects, or items under consideration (e.g., all students at a university).
- Sample: A part of the population selected for study.
- Sampling: The process of selecting a sample from a population.
- Sampling frame: A list of all possible units in a population.
- Survey: An investigation of a population to assess its characteristics.
- Census survey: A complete enumeration of a population.
- Sample survey: Examining a representative part of a population.
- Parameter: A characteristic or summary value calculated from a population.
- Statistic: A characteristic or summary value calculated from a sample.
- Sample size: The number of elements or observations in a sample.
Applications, Uses, and Limitations of Statistics
- Statistics is used in various fields like engineering, economics, and research to analyze data, control quality, forecast trends, etc.
- Statistics has limitations, for example it cannot deal with a single value, and complete accuracy is impossible.
Types of Variables
- Qualitative variables: Can't be quantified directly (e.g., color, sex).
- Quantitative variables: Can be quantified and measured or numerical values (e.g., height, weight)
Scales of Measurement
- Nominal scale: Grouping individuals into categories (e.g., political party preference). No order or ranking.
- Ordinal scale: Ordering or ranking measurements (e.g., ratings, grades). Differences between values are not meaningful.
- Interval scale: Order and meaningful distances between values (e.g., temperature). No true zero point.
- Ratio scale: Order, meaningful differences, and a true zero point (e.g., height, weight).
Methods of Data Collection
- Primary data: Collected for a specific purpose directly. Methods include interviews, questionnaires, etc.
- Secondary data: Collected by others and used in a different study.
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