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Chapter 1 The Where, Why, and How of Data Collection
Business Statistics: A Decision-Making Approach 8th Edition Chapter 1 The Where, Why, and How of Data Collection Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Chapter Goals After completing this chapter, you should be able to:
Describe key data collection methods Know key definitions: Population vs. Sample Primary vs. Secondary data types Qualitative vs. Qualitative data Time Series vs. Cross-Sectional data Explain the difference between descriptive and inferential procedures Describe different sampling methods Construct and interpret graphs Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Procedures of Statistics
Descriptive procedures Collecting, presenting, and describing data Inferential procedures Drawing conclusions and/or making decisions concerning a population based only on sample data Goal: Convert data into meaningful information! Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Descriptive Procedures
Collect data e.g., Survey, Observation, Experiments Present data e.g., Charts and graphs Describe data e.g., Sample mean = Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Inferential Procedures
Making statements about a population by examining sample results Sample statistics Population parameters (known) Inference unknown, but can be estimated from sample evidence Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Techniques for Inferential Procedures
Drawing conclusions and/or making decisions concerning a population based on sample results. Estimation e.g., Estimate the population mean weight using the sample mean weight Hypothesis Testing e.g., Use sample evidence to test the claim that the population mean weight is 120 pounds Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Procedures for Collecting Data (MKTG 300 course and Video Clip #14: Samples and Surveys)
Data Collection Procedures Experiments Written questionnaires Telephone surveys Direct observation and personal interview Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Population vs. Sample Population Sample a b c d b c ef gh i jk l m n
o p q rs t u v w x y z b c g i n o r u y Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Populations and Samples
A population is the entire collection of things under consideration and referred to as the frame The sampling unit is each object or individual in the frame A parameter is a summary measure computed to describe a characteristic of the population A sample is a subset of the population selected for analysis A statistic is a summary measure computed to describe a characteristic of the sample drawn from the population Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Why Sample? Less time consuming than a census
Less costly to administer than a census It is possible to obtain statistical results of a sufficiently high precision based on samples Strive for representative samples to reflect the population of interest accurately! Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Nonstatistical Sampling
Sampling Techniques Sampling Techniques Nonstatistical Sampling Statistical Sampling Simple Random Convenience Systematic Judgment Cluster Stratified Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Nonstatistical Sampling
Convenience Collected in the most convenient manner for the researcher Judgment Based on judgments about who in the population would be most likely to provide the needed information Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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(Probability Sampling)
Statistical Sampling Items of the sample are chosen based on known or calculable probabilities Statistical Sampling (Probability Sampling) Simple Random Stratified Systematic Cluster Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Simple Random Sampling
Every possible sample of a given size has an equal chance of being selected Selection may be with replacement or without replacement The sample can be obtained using a table of random numbers or computer random number generator Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Stratified Random Sampling (Please Watch Video Clip #14: Samples and Surveys)
Divide population into subgroups (called strata) according to some common characteristic e.g., gender, income level Select a simple random sample from each subgroup Combine samples from subgroups into one Population Divided into 4 strata Sample Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Systematic Random Sampling
Decide on sample size: n Divide ordered (e.g., alphabetical) frame of N individuals into groups of k individuals: k=N/n Randomly select one individual from the 1st group Select every kth individual thereafter N = 64 n = 8 k = 8 First Group Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Cluster Sampling Divide population into several “clusters,” each representative of the population (e.g., county) Select a simple random sample of clusters All items in the selected clusters can be used, or items can be chosen from a cluster using another probability sampling technique Population divided into 16 clusters. Randomly selected clusters for sample Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Data Types (Please see the Video Clip Introduction to Variables)
Examples: Marital Status Political Party Eye Color (Defined categories) Examples: Number of Children Defects per hour (Counted items) Examples: Weight Voltage (Measured characteristics) Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Data Types Time Series Data Cross Sectional Data
Ordered data values observed over time Cross Sectional Data Data values observed at a single point in time Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Data Types Sales (in $1000’s) 2003 2004 2005 2006 Atlanta 435 460 475
490 Boston 320 345 375 395 Cleveland 405 390 410 Denver 260 270 285 280 Time Series Data Cross Sectional Data Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Data Measurement Levels (Please see the Video Clip: Scales of Measurement)
Highest Level Complete Analysis Measurements e.g., temperature Ratio/Interval Data Rankings Ordered Categories e.g., age range 25-34 Higher Level Mid-level Analysis Ordinal Data Lowest Level Basic Analysis Categorical Codes e.g., ID Numbers, gender Nominal Data Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Steps to Categorizing Data
Identify each factor in the data set Determine if the data are time-series or cross-sectional Determine which factors are quantitative and which are qualitative Determine the level of data measurement e.g., nominal, ordinal Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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Chapter Summary Reviewed key data collection methods
Introduced key definitions: Population vs. Sample Primary vs. Secondary data types Qualitative vs. Quantitative data Time Series vs. Cross-Sectional data Examined descriptive vs. inferential procedures Described different sampling techniques Reviewed data types and measurement levels Copyright ©2011 Pearson Education, Inc. publishing as Prentice Hall
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