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Chapter 6 Introductory Statistics and Data
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What is Statistics? Numerical facts
Science that helps us collect, analyze, and interpret data and then make decisions
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Genetic Code of Statistics
Dataset: a group of numbers or information Element: a member of the dataset Variable: a characteristic common to all members Observation: the value of a variable for an element Dataset: all FIU students Element: you! Variable: GPA Observation: 4.00
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Genetic Code of Statistics
Descriptive Statistics: Methods or techniques used to summarize data Graphs: frequency Central Tendency: mean, median, mode Dispersion: std, deviation, variance
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Population vs. Sample Population (Universe): the set of ALL elements
Sample: a group of elements selected from a population Inferential (Inductive) Statistics: Process of drawing information from sample observations and making conclusions about the population Census: Colleting data from every element of a target population Sample survey: Colleting data from elements in a sample Parameter: a numerical measurement of a population characteristic Statistic: a numerical measurement of a sample char.
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Sampling Techniques Sampling with replacement: an element was returned to population after observation/measurement was made Sampling without replacement: an element was NOT returned to population after observation/measurement was made
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Sampling Techniques Random Sampling: Each element of the population has equal chance of being included in a sample Sequential Sampling: Elements are collected in sequence Stratified Sampling: Elements are selected proportionally from each process (source) Sample size: Number of elements in a sample
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Random Sampling RAND() [Excel] Go to Calc > Random Data
> Uniform
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Stratified Sampling
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Data Data Characteristics: Datum (singular)
Center: value represents the location of the middle of the dataset Variation: measure of the difference among the elements of a dataset Distribution: shape of how the elements scatter Outliers: elements located far away from most elements
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Data Qualitative, categorical, or attribute data Quantitative data
Nominal-Scale: data are divided into categories (yes/no) Ordinal-Scale: data are divided into categories that can be ranked, sub-division is not meaningful (ranking) Interval-Scale: categorical order is inherent, sub-division is meaningful, no absolute zero point (IQ, F) Ratio-Scale: categorical order is inherent, sub-division is meaningful, and with absolute zero point (weight, length)
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Data Quantitative Variables and Data
Discrete Continuous Qualitative/Categorical Variables and Data
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Data Collection Control cards Data Collection Sheet
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Database Relational database Object-oriented database
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