Introduction to Statistics
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What is Statistics?

Statistics is a branch of science that deals with the collection, presentation, organization, analysis, and interpretation of data.

Why should you study Statistics?

  • To be able to read and understand statistical studies performed in their own fields.
  • To conduct research in their field.
  • To be better consumers and citizens.
  • All of the above. (correct)
  • What is a population?

    A population encompasses all subjects, whether human or otherwise, that are being studied.

    What is a sample?

    <p>A sample is a group of subjects selected from the population.</p> Signup and view all the answers

    Why do researchers rarely use the entire population in a statistical study?

    <p>It is often impractical and costly to study the entire population. For example, conducting a survey on every citizen of a country would be highly expensive and time-consuming.</p> Signup and view all the answers

    What is a parameter?

    <p>A parameter is a numerical measure that describes characteristics of a population.</p> Signup and view all the answers

    What are the two branches of Statistics?

    <p>Descriptive and Inferential Statistics</p> Signup and view all the answers

    What does Descriptive Statistics involve?

    <p>Descriptive Statistics involves the organization, summarization, and display of data.</p> Signup and view all the answers

    What are some examples of what Descriptive Statistics include?

    <p>Descriptive Statistics includes summary calculations, graphs, charts, and tables.</p> Signup and view all the answers

    What does Inferential Statistics involve?

    <p>Inferential Statistics deals with predictions and inferences based on the analysis and interpretation of the results gathered by statisticians.</p> Signup and view all the answers

    What are some examples of what Inferential Statistics include?

    <p>Inferential Statistics includes performing estimation and hypothesis tests, determining relationships, and making predictions.</p> Signup and view all the answers

    If a researcher wishes to conduct a social experiment on 100 students at their school, what is the population and sample size of this experiment?

    <p>Population: All students at the school, Sample: 100 students</p> Signup and view all the answers

    If the researcher finds that 83% of the students in the experiment would return the money to the owner, is this Descriptive or Inferential statistics?

    <p>Descriptive</p> Signup and view all the answers

    If the researcher uses the 83% of the students to create a confidence interval between 75% and 85%, is this Descriptive or Inferential statistics?

    <p>Inferential</p> Signup and view all the answers

    What is the first step of the process of statistics?

    <p>The first step of the process of statistics is to identify the research objective.</p> Signup and view all the answers

    What is the second step of the process of statistics?

    <p>The second step of the process of statistics is to collect the information needed to answer the questions.</p> Signup and view all the answers

    If you are using a large sample to conduct your experiment, is inferential statistics still necessary?

    <p>No, inferential statistics is not necessary if only a small sample is used; descriptive statistics will be sufficient.</p> Signup and view all the answers

    If a basketball player wants to know is average score over the last 10 games, what type of statistics would be used to answer this question?

    <p>Descriptive Statistics</p> Signup and view all the answers

    If someone wants to use the average monthly electricity bill over the past year to predict the average monthly electric bill for the next year, what type of statistics would be used to answer this question?

    <p>Inferential Statistics</p> Signup and view all the answers

    If a car manufacturer needs to find out the average lifespan of their car batteries by testing a sample of 50 batteries, what type of statistics would be used to answer this question?

    <p>Inferential Statistics</p> Signup and view all the answers

    If the data collected about 49% of individuals between 18 - 34 years old who have started employment is used to inform a report, what type of statistics would be used for this?

    <p>Descriptive Statistics</p> Signup and view all the answers

    If a report uses data on the world population predicted in 2025, what type of statistics would be used for this?

    <p>Inferential Statistics</p> Signup and view all the answers

    What are the two types of variables?

    <p>Qualitative and Quantitative</p> Signup and view all the answers

    What is a Qualitative variable?

    <p>A Qualitative variable is a variable that has distinct categories according to some characteristics or attribute.</p> Signup and view all the answers

    What are the two types of Quantitative variables?

    <p>Discrete and Continuous</p> Signup and view all the answers

    What is a Discrete variable?

    <p>A Discrete variable is a quantitative variable that either has a finite number of possible values or a countable number of possible values, often resulting from counting.</p> Signup and view all the answers

    What is a Continuous variable?

    <p>A Continuous variable can assume an infinite number of values between any two specific values, often obtained by measuring.</p> Signup and view all the answers

    What are the four levels of measurement?

    <p>Nominal, Ordinal, Interval, Ratio</p> Signup and view all the answers

    What is the Nominal level of measurement?

    <p>The Nominal level of measurement is the first level of measurement. It identifies, names, classifies, or categorizes objects or events, but the data cannot be arranged into an ordering scheme.</p> Signup and view all the answers

    What is the Ratio level of measurement?

    <p>The Ratio level of measurement is the highest level of measurement. It identifies, orders, represents equal distances between scores, and has an absolute zero point.</p> Signup and view all the answers

    What two main sources can be used to find documented data?

    <p>Primary and Secondary</p> Signup and view all the answers

    What are Primary Sources?

    <p>Primary Sources are individuals, business firms, or agencies, whether private, government, or non-government, that collect the documented data themselves.</p> Signup and view all the answers

    What is Primary Data?

    <p>Primary Data is data documented by the primary source.</p> Signup and view all the answers

    What are Secondary Sources?

    <p>Secondary Sources are individuals or organizations that obtain documented data from other sources. They did not collect the data themselves but compiled it from various sources.</p> Signup and view all the answers

    What is Secondary Data?

    <p>Secondary Data is data documented by a secondary source.</p> Signup and view all the answers

    Which one of these options is NOT a method of collecting data?

    <p>Stratified Sampling</p> Signup and view all the answers

    What is a Census?

    <p>A Census is a study that collects data from all members of a population.</p> Signup and view all the answers

    What is a Sample Survey?

    <p>A Sample Survey is a survey that collects data from a sample of people selected from a well-defined population.</p> Signup and view all the answers

    What is a Respondent?

    <p>A Respondent is someone who completes a survey or provides information in a study.</p> Signup and view all the answers

    What is a Personal Interview?

    <p>A Personal Interview involves an interviewer asking respondents questions directly.</p> Signup and view all the answers

    What is a Telephone Interview or Video Call?

    <p>A Telephone Interview or Video Call involves an interviewer asking respondents questions over the phone or video conferencing.</p> Signup and view all the answers

    What are Self-Administered Questionnaires?

    <p>Self-Administered Questionnaires involve respondents completing questionnaires on their own without the assistance of a researcher.</p> Signup and view all the answers

    What are Online Surveys?

    <p>Online Surveys allow respondents to complete surveys online using computers or mobile devices.</p> Signup and view all the answers

    What is a Focus Group Discussion?

    <p>A Focus Group Discussion is a group interview where participants discuss a topic in a moderated setting.</p> Signup and view all the answers

    What is an Experiment?

    <p>In an Experiment, a researcher intervenes by controlling conditions to observe the effect on a variable.</p> Signup and view all the answers

    What is an Experimental Group?

    <p>An Experimental Group is the group in an experiment that receives the treatment being tested.</p> Signup and view all the answers

    What is a Control Group?

    <p>A Control Group is a group in an experiment that does not receive the treatment being tested.</p> Signup and view all the answers

    What is Observation?

    <p>Observation is a method of collecting data by observing and recording behavior or phenomena.</p> Signup and view all the answers

    What is Questionnaire?

    <p>A Questionnaire is a list of written questions used to gather information from respondents.</p> Signup and view all the answers

    What are the two main types of questions presented in questionnaires?

    <p>Close-Ended and Open-Ended</p> Signup and view all the answers

    What are Close-Ended Questions?

    <p>Close-Ended Questions provide respondents with a limited set of pre-defined answer choices.</p> Signup and view all the answers

    What is a Pitfall to avoid when wording questions?

    <p>All of the above</p> Signup and view all the answers

    What does It mean to avoid vague questions?

    <p>Avoid using broad or ambiguous terms that can be interpreted in multiple ways.</p> Signup and view all the answers

    What does it mean to avoid confusing questions?

    <p>Avoid questions that are difficult to understand or that require complex thought processes.</p> Signup and view all the answers

    What does it mean to avoid difficult questions?

    <p>Avoid questions that require respondents to have specialized knowledge or expertise.</p> Signup and view all the answers

    What does it mean to avoid sensitive questions?

    <p>Avoid questions that are personal, intrusive, or that might make respondents uncomfortable.</p> Signup and view all the answers

    What does it mean to keep questions short and simple?

    <p>Make your questions concise and easy to read and understand.</p> Signup and view all the answers

    What are the two main categories of sampling techniques?

    <p>Probability and Non-Probability</p> Signup and view all the answers

    What is Probability Sampling?

    <p>Probability Sampling involves selecting respondents randomly from a population, ensuring each element has an equal chance of being chosen.</p> Signup and view all the answers

    What are the four types of Probability Sampling?

    <p>The four types of Probability Sampling are Simple Random Sampling, Stratified Sampling, Cluster Sampling, and Systematic Sampling.</p> Signup and view all the answers

    What is Simple Random Sampling?

    <p>Simple Random Sampling involves selecting respondents randomly from a population, ensuring each element has an equal chance of being chosen.</p> Signup and view all the answers

    What is Stratified Sampling?

    <p>Stratified Sampling divides the population into subgroups or strata based on a certain characteristic, then samples from each subgroup.</p> Signup and view all the answers

    What is Cluster Sampling?

    <p>Cluster Sampling divides the population into clusters and then randomly selects entire clusters to sample.</p> Signup and view all the answers

    What is Systematic Sampling?

    <p>Systematic Sampling involves selecting every <em>n</em>th element from a list or population, after randomly selecting the starting point.</p> Signup and view all the answers

    What are the three types of Non-Probability Sampling?

    <p>The three types of Non-Probability Sampling are Convenience Sampling, Quota Sampling, and Purposive Sampling.</p> Signup and view all the answers

    What is Convenience Sampling?

    <p>Convenience Sampling involves selecting respondents who are most readily available to the researcher.</p> Signup and view all the answers

    What is Purposive Sampling?

    <p>Purposive Sampling involves selecting respondents who have specific characteristics relevant to the research question.</p> Signup and view all the answers

    Study Notes

    Introduction to Statistics

    • Statistics is a branch of science dealing with the collection, presentation, organization, analysis, and interpretation of data.
    • The term "statistics" originated from the Latin word "status," meaning state.
    • Its early definition was the science dealing with data about a state or community's condition.
    • Popular use of the term became common in the 19th century.

    Why Study Statistics?

    • Professionals need to read and understand various statistical studies in their fields.
    • Statistical procedures are fundamental for research.
    • Knowledge gained from studying statistics helps one become better consumers and citizens.

    Population vs. Sample

    • Population: All subjects in a study, be they human or otherwise.
    • Sample: A group of subjects chosen from the population.
    • Researchers rarely use the entire population due to cost, time, and practicality concerns.

    Parameter vs. Statistic

    • Parameter: A numerical measure describing characteristics of a population.
    • Statistic: A numerical measure describing characteristics of a sample.

    Branches of Statistics

    • Descriptive Statistics: Organizing, summarizing, and presenting data through graphs, charts, tables, and summary calculations.
    • Inferential Statistics: Making predictions and drawing conclusions about a population based on analyses of a sample.

    Process of Statistics

    • Identify research objective: Clearly define the question(s) you want answered.
    • Collect information: Gather the needed information, often from a sample (subset of the population) due to practicality and cost.
    • Organize and summarize: Descriptive statistics—organizing and describing the collected data (using charts, graphs, etc.).
    • Draw conclusion: Inferential statistics—generalize the sample data to the broader population, estimating the reliability of this generalization.
    • If the entire population is studied, inferential statistics is unnecessary.

    Examples of Descriptive vs. Inferential Statistics

    • Descriptive: Calculating an average score for 10 basketball games.
    • Inferential: Forecasting next year's average electricity bill based on past bills.
    • Descriptive: 49% of 18-34 year olds took a job due to the current economy.
    • Inferential: Predicting the world's population in 2025.

    Types of Variables

    • Qualitative variables: Categorical variables based on characteristics or attributes (e.g., gender, religion).
    • Quantitative variables: Numerical variables that can be counted or measured.
      • Discrete: Variables that result from counting (e.g., number of siblings, students in a class)
      • Continuous: Variables that can take on infinite possible values between any two points (e.g., height, weight).

    Levels of Measurement

    • Nominal: Categorical data without any inherent order (e.g., jersey numbers, eye color)
    • Ordinal: Categorical data with an inherent order (e.g., rankings, satisfaction levels).
    • Interval: Numerical data with meaningful differences but without a true zero point (e.g., temperature on Celsius/Fahrenheit, IQ).
    • Ratio: Numerical data with meaningful differences and a true zero point (e.g., height, weight, age).

    Collection of Data

    • Sources of Data:
      • Primary Sources: Data collected directly by the researcher or a research agency (e.g., Central Bank, Pulse Asia).
      • Secondary Sources: Compiled data from other sources. (e.g., United Nations)
    • Methods of Data Collection:
      • Survey: Gathering data by asking questions (census or sample survey).
      • Personal Interview: Interviewers ask questions and record responses.
      • Telephone Interview/Video Call: Respondents answer questions over the phone.
      • Self-Administered Questionnaires: Respondents answer questions without assistance.
      • Online Surveys: Data collection via the internet.
      • Focus Group Discussion: In-depth group discussions facilitated by a moderator.
      • Experiment: The researcher controls conditions and variables in an experiment.
      • Observation: Recording observations about a phenomenon as it naturally occurs.
      • Questionnaire: A list of well-planned questions, either close-ended or open-ended
        • Close-ended: pre-defined response options (e.g., multiple choice, rating scales)
        • Open-ended: free-response questions that allow for details.

    Sampling Techniques

    • Probability Sampling: Each member of the population has a known chance of being selected.
      • Simple Random Sampling, Stratified Sampling, Systematic Sampling, Cluster Sampling, Multistage Sampling
    • Non-probability Sampling: The probability of each member being selected is unknown.
      • Convenience Sampling, Purposive Sampling, Quota Sampling

    Pitfalls to Avoid in Question Wording

    • Avoid vague, biased, confidential, sensitive, too difficult, confusing, or perplexing questions.
    • Keep questions short and to the point.

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    Introduction to Statistics PDF

    Description

    This quiz covers the fundamentals of statistics, including its definitions, importance in various fields, and key concepts such as population versus sample and parameter versus statistic. Understanding these concepts is essential for analyzing and interpreting data effectively.

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