Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Statistics
Document related concepts
no text concepts found
Transcript
Statistics VW1LQH:HHNV7KHVWXGHQWLVH[SHFWHGWR • Overview of methods of data collection - census (DS 1 Ai) • Overview of methods of data collection - sample survey (DS 1 Aii) • Overview of methods of data collection - experiment (DS 1 Aiii) • Overview of methods of data collection - observational study (DS 1 Aiv) • Planning and conducting surveys - Characteristics of a well-designed and well-conducted survey (DS 1 Bi) • Planning and conducting surveys - Populations, samples and random selection(DS 1 Bii) • Planning and conducting surveys - Sources of bias in sampling and surveys (DS 1 Biii) • Planning and conducting surveys - Sampling methods, including simple random sampling, stratified random sampling and cluster sampling (DS 1 Biv) • Planning and conducting experiments - Characteristics of a well-designed and well-conducted experiment (DS 1 Ci) • Planning and conducting experiments - Treatments, control groups, experimental units, random assignments and replication (DS 1 Cii) • Planning and conducting experiments - Sources of bias and confounding, including placebo effect and blinding (DS 1 Ciii) • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) - Center and spread (DS 2 Ai) • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) - Cluster and gaps (DS 2 Aii) • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) - Outliers and other unusual features (DS 2 Aiii) • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) - Shapes (DS 2 Aiv) • Summarizing distributions of univariate data - Measuring center: median, mean (DS 2 Bi) • Summarizing distributions of univariate data - Measuring spread: range, interquartile range, standard deviation (DS 2 Bii) • Summarizing distributions of univariate data - Measuring position: quartiles, percentiles, standardized (DS 2 Biii) • Summarizing distributions of univariate data - Using boxplots (DS 2 Biv) • Summarizing distributions of univariate data - The effect of changing units on summary measures (DS 2 Bv) • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) - Comparing center and spread: within group, between group variation (DS 2 Ci) • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) - Comparing clusters and gaps (DS 2 Cii) • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) - Comparing outliers and other unusual features (DS 2 Ciii) • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) - Comparing shapes (DS 2 Civ) • Exploring categorical data - Frequency tables and bar charts (DS 2 Di) • Exploring categorical data - Marginal and joint frequencies for two-way tables (DS 2 Dii) • Exploring categorical data - Conditional relative frequencies and association (DS 2 Diii) • Exploring categorical data - Comparing distrivbutions using bar charts (DS 2 Div) • Generalizability of results and types of conclusions that can be drawn from observational studies, experiments and surveys (DS 2 E) TEKS • assess statistical information portrayed in media, work, and educational environments.[6B] • generate a spreadsheet to collect, collate, organize, and analyze quantitative data.[6C] • use spreadsheets and graphical techniques to present data in a manner that is understood by and meaningful to colleagues and clients.[6D] • analyze data presented in frequency distributions, histograms, and forgiveness.[6E] • construct and use descriptive indices.[6F] • Essential Questions QG1LQH:HHNV7KHVWXGHQWLVH[SHFWHGWR • Exploring bivariate data - Analyzing patterns in scatterplots (DS 3 Ai) • Exploring bivariate data - Correlation and linearity (DS 3 Aii) • Exploring bivariate data - Least-squares regression line (DS 3 Aiii) • Exploring bivariate data - Residual plots, outliers and influential points (DS 3 Aiv) • Probability - Interpreting probability, including long-run relative frequency interpretation (DS 4 Ai) • Probability - “Law of Large Numbers” concept (DS 4 Aii) • Probability - Addition rule, multiplication rule, conditional probability and independence (DS 4 Aiii) • Probability - Discrete random variables and their probability distributions, including binomial and geometric (DS 4 Aiv) • Probability - Simulation of random behavior and probability distributions (DS 4 Av) • Probability - Mean (expected value) and standard deviation of a random variable, and linear transformation of a random variable (DS 4 Avi) • Combining independent random variables - Notion of independence versus dependence (DS 4 Bi) • Combining independent random variables - Mean and standard deviation for sums and differences of independent random variables (DS 4 Bii) TEKS • analyze data presented in frequency distributions, histograms, and forgiveness.[6E] • analyze two variable problems using linear regression and correlation.[6M] • interpret the results of a computer-generated regression model.[6N] UG1LQH:HHNV7KHVWXGHQWLVH[SHFWHGWR • The normal distribution - Properties of the normal distribution (DS 5 Ai) • The normal distribution - Using tables of the normal distribution (DS 5 Aii) • The normal distribution -The normal distribution as a model for measurements (DS 5 Aiii) • Sampling distributions - Sampling distribution of a sample proportion (DS 5 Bi) • Sampling distributions - Sampling distribution of a sample mean (DS 5 Bii) • Sampling distributions - Central Limit Theorem (DS 5 Biii) • Sampling distributions - Sampling distribution of a difference between two independent sample proportions (DS 5 Biv) • Sampling distributions - Sampling distribution of a difference between two independent sample means (DS 5 Bv) • Sampling distributions - Simulation of sampling distributions (DS 5 Bvi) • Sampling distributions - t-distribution (DS 5 Bi) • Estimation (point estimators and confidence intervals) - Estimating population parameters and margins of error (DS 6 Ai) • Estimation (point estimators and confidence intervals) - Properties of point estimators, including unbiasedness and variability(DS 6 Aii) • Estimation (point estimators and confidence intervals) - Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals (DS 6 Aiii) • Estimation (point estimators and confidence intervals) - Large sample confidence interval for a proportion (DS 6 Aiv) • Estimation (point estimators and confidence intervals) - Large sample confidence interval for a difference between two proportions (DS 6 Av) • Estimation (point estimators and confidence intervals) - Confidence interval for a mean (DS 6 Avi) • Estimation (point estimators and confidence intervals) - Confidence interval for a difference between two means (unpaired and paired) (DS 6 Avii) • Logic of significance testing, null and alternative hypotheses; p-values; one- and two-sided tests; concepts of Type I and Type II errors; concept of power (DS 7 Ai) • Large sample test for a proportion (DS 7 Aii) • Large sample test for a difference between two proportions (DS 7 Aiii) • Test for a mean (DS 7 Aiv) • Test for a difference between two means (unpaired and paired) (DS 7 Av) TEKS • construct and interpret a confidence interval estimate for a single population mean using standard normal distribution.[6H] • establish and interpret a confidence interval estimate for a single population proportion.[6I] • carry out an appropriate hypothesis test on a single population mean or proportion.[6J] • interpret the p-value of the test statistic.[6K] WK1LQH:HHNV7KHVWXGHQWLVH[SHFWHGWR • Logic of significance testing, null and alternative hypotheses; p-values; one- and two-sided tests; concepts of Type I and Type II errors; concept of power (DS 8 Ai) • Large sample test for a proportion (DS 8 Aii) • Large sample test for a difference between two proportions (DS 8 Aiii) • Test for a mean (DS 8 Aiv) • Test for a difference between two means (unpaired and paired) (DS 8 Av) • TEKS • carry out an appropriate hypothesis test on a single population mean or proportion.[6J] • interpret the p-value of the test statistic.[6K]
