T-Tests, ANOVA, and Correlation in Statistical Analysis

T-Tests

Understanding T-Distributions

True Statement: The larger the sample size, the more a t distribution resembles a normal curve.

Estimating Population Variance

When estimating the variance of a population from a sample, the sample variance cannot be used directly because it tends to be slightly too small—it underestimates the population variance.

T-Test vs. Z-Test

The difference between a t test for a single sample and a Z test for a single sample lies in how the variance of the known population

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Basic Concepts of Sociology and Davis-Moore’s Theory of Stratification

Basic Concepts (p. 34-36)

A basic element of science is the concept, a mental construct that represents some part of the world in a simplified form. Sociologists use concepts to label aspects of social life. A variable is a concept whose value changes from case to case. (“Height”, for example, has a value that varies from person to person).

The use of variables depends on measurement, a procedure for determining the value of a variable in a specific case. Some variables are easy to measure, as when

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Basic Concepts of Sociology and Davis-Moore’s Theory of Stratification

Basic Concepts (p. 34-36)

A basic element of science is the concept, a mental construct that represents some part of the world in a simplified form. Sociologists use concepts to label aspects of social life. A variable is a concept whose value changes from case to case. (“Height”, for example, has a value that varies from person to person). The use of variables depends on measurement, a procedure for determining the value of a variable in a specific case. Some variables are easy to measure, as when

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Statistics Cheat Sheet: Key Concepts and Formulas

Find the probability that exactly four of the sampled people own a tablet computer. We input 15 for n, .3 for p, and 4 for xbinompdf(15,.3,4) 15 is sample size .30=30% || To compute P(x), select poissonpdf and enter the values for λt and x separated by commas and press ENTER. || To compute P(Less than or equal to x), select poissoncdf and enter the values for λt and x separated by commas and press ENTER. || Let A and B be events with P(A) = 0.7, P(B) = 0.4, and P(B|A) = 0.2. Find P(A and B)

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Statistics: A Comprehensive Guide to Data Analysis and Interpretation

Introduction

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It provides tools and methods to understand patterns and trends, make decisions, and draw conclusions from data.

Sampling

Sampling in statistics refers to the process of selecting a subset of individuals or items from a larger population to estimate characteristics of the whole population. Different sampling methods are used depending on the research

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