Data and Samples

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Questions and Answers

In a designed experiment, what role does the researcher primarily take?

  • Exerting strict control over the experimental units. (correct)
  • Observing units in their natural setting without intervention.
  • Surveying a group of people to gather their responses.
  • Collecting data from publicly available sources.

Which of the following best describes a 'representative sample'?

  • A large sample size that guarantees accurate results.
  • A sample selected purely by chance, ensuring every individual has an equal opportunity to be included.
  • A sample that mirrors the characteristics of the population of interest. (correct)
  • A sample that over-represents certain segments of the population.

What is the fundamental principle behind obtaining a 'random sample'?

  • Ensuring the sample includes a variety of different characteristics.
  • Giving every possible sample of the same size an equal chance of being selected. (correct)
  • Selecting individuals who are easily accessible.
  • Guaranteeing that the sample is free from any bias.

Which of the following scenarios exemplifies 'selection bias' in sampling?

<p>A subset of the population being excluded from the possibility of selection. (A)</p> Signup and view all the answers

In the context of surveys, what does 'nonresponse bias' refer to?

<p>The inability of researchers to collect data from all selected participants. (B)</p> Signup and view all the answers

Which of the following scenarios would most likely result in 'measurement error'?

<p>A survey containing ambiguous or leading questions. (C)</p> Signup and view all the answers

What is a key characteristic of a well-designed table for data presentation?

<p>A simple, logical, and easy-to-read format. (C)</p> Signup and view all the answers

Which method of data presentation is most effective for conveying numerical values or relationships in a visually compelling manner?

<p>Graphical presentation. (B)</p> Signup and view all the answers

What is the primary purpose of a pie or circle graph?

<p>Showing the percent distribution of a whole into its component parts. (B)</p> Signup and view all the answers

How do observation studies primarily collect data?

<p>By observing and recording variables of interest in a natural setting. (B)</p> Signup and view all the answers

Which of the following is an example of obtaining data from a published source?

<p>Extracting information from a peer-reviewed journal article. (C)</p> Signup and view all the answers

What does 'statistical thinking' primarily involve?

<p>Applying rational thought and the science of statistics to critically assess data and inferences. (A)</p> Signup and view all the answers

If a researcher wants to analyze trends in sales data over several years, which type of graph would be the most suitable?

<p>Line Graph. (A)</p> Signup and view all the answers

A market analyst aims to divide consumers into groups based on their spending habits. Which type of graph is appropriate?

<p>Pie Graph. (B)</p> Signup and view all the answers

What is the role of statistical analysis in addressing a real-world managerial problem?

<p>To translate the managerial question into a statistical question, analyze data, and provide an answer that informs the managerial solution. (C)</p> Signup and view all the answers

Which of the following statistical software packages is commonly used for data analysis?

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

Why is statistical understanding important when using statistical computer packages?

<p>Because it helps in interpreting the results correctly and understanding the assumptions and limitations of the statistical methods used. (B)</p> Signup and view all the answers

Which scenario describes the application of statistical thinking in managerial decision making?

<p>A retailer analyzes sales data to optimize inventory levels and reduce stockouts. (D)</p> Signup and view all the answers

Why is understanding the limitations of statistical software important for data analysis?

<p>To interpret results correctly, avoid misinterpretations, and assess the suitability of software for specific data types and analyses. (C)</p> Signup and view all the answers

A company wants to gather data on employee satisfaction. What approach would involve surveying a sample of employees?

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

What characteristic distinguishes a 'random sample' from a 'representative sample'?

<p>A random sample gives each individual an equal chance of selection, while a representative sample mirrors population characteristics. (C)</p> Signup and view all the answers

In managerial context, what’s the importance of statistical thinking?

<p>It helps to critically assess data, account for variation, and make informed inferences. (B)</p> Signup and view all the answers

What graphical presentation would be most effective in illustrating changes in a continuous variable over time?

<p>Line Graph. (C)</p> Signup and view all the answers

When would a bar graph be preferred over a pie chart for data presentation?

<p>When comparing categories or groups of data. (C)</p> Signup and view all the answers

How would one best describe the statistical errors encountered during non-random sampling?

<p>Selection bias, Nonresponse bias, and measurement error. (C)</p> Signup and view all the answers

Flashcards

Published data source

Data from books, journals, websites, etc.

Designed experiment

Data where the researcher controls experimental units.

Survey data

Data from surveying a group of people.

Observational study

Data observed in a natural setting.

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Representative sample

Exhibits characteristics of the population.

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Random sample

Each sample has an equal chance of selection.

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Statistical Thinking

Involves assessing data with rational thought.

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Selection bias

Subset excluded with no chance of being selected.

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Nonresponse bias

The data is not obtained on all units selected.

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Measurement Error

Inaccuracies in values of data recorded.

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Tabular presentation

Arranging data in rows and columns for easy analysis.

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Graphical presentation

Presenting numerical values in picture form.

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Line Graph

Oldest, simplest, and widely used data presentation

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Bar Graph

Shows comparison of categories as comparisons between each other.

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Pie or Circle Graph

A diagram of circular shape cut into division to show distribution of a whole.

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Study Notes

  • Obtaining data can be achieved in four ways, from a published source, a designed experiment, a survey, or collected observationally

Obtaining Data

  • Types of published sources are books, journals, newspapers, and websites
  • A designed experiment requires the researcher to exert strict control over the experimental units
  • A survey involves collecting responses from a group of people
  • An observational study records variables of interest in a natural setting

Samples

  • A representative sample reflects the characteristics of the population of interest
  • A random sample of n experimental units is selected from the population, ensuring every different sample of size n has an equal chance of selection
  • Every sample of size n has an equal chance of selection when using a random sample

Statistical Thinking

  • It applies rational thought and statistics to assess data and inferences critically
  • Variation exists in populations and process data
  • A random sample of n experimental units is selected from the population so that every different sample of size n has an equal chance of selection

Nonrandom Sample Errors

  • Selection bias occurs when a subset of experimental units is excluded from the population, so they cannot be selected
  • Nonresponse bias happens when researchers cannot obtain data from all experimental units selected for the sample
  • Measurement error refers to inaccuracies in recorded data values that may come from ambiguous questions or interviewer effect

Statistical Computer Packages

  • Some typical software include: SPSS, MINITAB, and Excel
  • Need statistical understanding, assumptions, and limitations

Data Presentation

  • Tabular presentation arranges data in rows and columns for easy comparison and analysis
  • A good table design needs to be simple, logically arranged, and easy to read
  • Graphical presentation uses pictures to present numerical values or relationships clearly
  • Graphical methods attract attention, provide a comprehensive view of quantitative data, and are simple to understand

Types of Graphs

  • Line graphs are the oldest, simplest, most familiar, and widely used, plotting points with reference to an arithmetic scale
  • Bar graphs compare categories chronologically using horizontal and vertical arrangements
  • Pie or circle graphs display data as a circular diagram divided into sections, showing the percent distribution of a whole, preferably with less than 5 or 6 sectors

Data Presentation Example

  • Total government revenues from taxes reached P1375 million in the year 2000
  • Principal receipts in 1980 included P885 million in indirect taxes and P374 million in direct taxes
  • Other revenue sources were property income (P75 million) and net donations from abroad (P41 million)

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