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Published byFelicia Rogers Modified over 9 years ago
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Basics of Statistics
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Statistics 4 the science of collecting, analyzing, and drawing conclusions from data
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Descriptive statistics 4 the methods of organizing & summarizing data
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Inferential statistics 4 involves making generalizations from a sample to a population This will be the 2 nd semester
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Population 4 The entire collection of individuals or objects about which information is desired
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Sample 4 A subset of the population, selected for study in some prescribed manner
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Data 4 observations on single variable or simultaneously on two or more variables
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Context (the W’s) 4 Tells us WHO was measured WHAT was measured WHEN the study was performed WHERE the data was collected WHY the study was performed HOW the data were collected
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Variable 4 any characteristic whose value may change from one individual to another
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Types of variables
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Categorical variables 4 or qualitative 4 identifies basic differentiating characteristics of the population
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Quantitative variables 4 or numerical 4 observations or measurements take on numerical values 4 have units (dollars, hours, etc) 4 two types - discrete & continuous
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Discrete (numerical) 4 listable set of values 4 usually counts of items
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Continuous (numerical) 4 data can take on any values in the domain of the variable 4 usually measurements of something
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Classification by the number of variables 4 Univariate - data that describes a single characteristic of the population 4 Bivariate - data that describes two characteristics of the population 4 Multivariate - data that describes more than two characteristics (beyond the scope of this course
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Identify the following: 4 gender 4 age 4 Right or left handed 4 How you got to school 4 Number of movies 4 number of girls in class 4 Fastest speed driven 4 categorical 4 numerical 4 categorical 4 numerical
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Types of Distributions 4 common types
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Symmetrical 4 refers to data in which both sides are (more or less) the same when the graph is folded vertically down the middle 4 bell-shaped is a special type –has a center mound with two sloping tails
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Uniform 4 refers to data in which every class has equal or approximately equal frequency
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Skewed (left or right) 4 refers to data in which one side (tail) is longer than the other side 4 the direction of skewness is on the side of the longer tail
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Bimodal (multi-modal) 4 refers to data in which two (or more) classes have the largest frequency & are separated by at least one other class
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