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  • Redesign and Expansion of the SOCR Modeler Project
    To redesign and expand the utility of the [[SOCR]] [http://www.socr.ucla.edu/htmls/SOCR_Mo… …ges and consists of a collection of applets that allow sampling/simulation and model-fitting. It currently allows fitting several distribution, Fourier o…
    6 KB (862 words) - 13:43, 27 March 2017
  • Probability and statistics EBook
    …rs, researchers and educators are encouraged to contribute to this project and improve the content of these learning materials. …rmation technology, scientific techniques and modern pedagogical concepts, and is multilingual.
    31 KB (4243 words) - 15:39, 3 September 2014
  • SOCR Artistic and Video Project
    ==[[Available_SOCR_Development_Projects | SOCR Project]] - SOCR Artistic and Video Project== …late], [http://socr.ucla.edu/docs/SOCR_Brochure_Integrated_2009.pdf fliers and brochures], organizational charts, graphical designs for applets, web-page…
    4 KB (551 words) - 19:15, 5 August 2011
  • SOCR Testing and Quality Assurance Project
    ==[[Available_SOCR_Development_Projects | SOCR Project]] - SOCR Testing and Quality Assurance Project== This project aims to help with testing and quality assurance of all SOCR resources? This will involve looking for pro…
    2 KB (244 words) - 20:55, 23 May 2010
  • Extend SOCR Fourier and Wavelet Games
    …le_SOCR_Development_Projects | SOCR Project]] - Extending the SOCR Fourier and Wavelet Games== …ime. This would show the time-signature of the audio file on the top panel and the bottom panel will show the dynamic Fourier or Wavelet signal represent…
    2 KB (320 words) - 15:42, 9 September 2010
  • SOCR Course and Training Videos
    == [[SOCR Videos]] - SOCR Courses and Training Videos and Webcasts == See the [[SOCR_Courses|SOCR Courses]] and [[SOCR_News|SOCR News]].
    3 KB (386 words) - 23:11, 14 February 2014
  • Statistics for life and health sciences EBook
    Welcome to the UCLA Statistics for the Biomedical and Health Sciences (Stats 13) electronic book (EBook). … this course over the years. Many other instructors, researchers, students and educators have contributed to this EBook.
    4 KB (443 words) - 23:57, 18 March 2013

Page text matches

  • Main Page
    * [[SOCR_NewsEventsAnnouncements | SOCR News, Events and Announcements]] * [[SOCR_Partners | SOCR Collaborators and Partners]]
    944 B (131 words) - 21:45, 29 December 2009
  • SOCR Docs
    * [[SOCR_Servers | SOCR Servers and Mirrors]]
    465 B (61 words) - 21:33, 29 December 2009
  • SOCR EduMaterials
    ** [[Help_pages_for_SOCR_Cartography|SOCR Cartography, GIS mapping and Spatial Statistics]] * [[SOCR Books]] and [[EBook | SOCR AP Statistics Curriculum (EBook)]]
    2 KB (228 words) - 04:40, 13 April 2011
  • SOCR EduMaterials Activities
    * [[SOCR_ResamplingSimulation_Activity | SOCR Resampling, Randomization and Simulation * [[SOCR_EduMaterials_Activities_BaseballSalaryWins | SOCR Baseball Salary and Team Success Activity]]
    2 KB (219 words) - 22:27, 21 February 2013
  • SOCR News
    ….edu/index.php/SOCR_News '''Since 2023, all SOCR News, Events, Activities, and are tracked on the SOCR UM News site'''] ... …2022 ''Quantum Physics Interface to Data Science, Artificial Intelligence, and Spacekime Analytics''] at the [https://www.aps.org/meetings/ March 2022 AP…
    69 KB (9394 words) - 14:16, 14 October 2023
  • SOCR EduMaterials ExperimentsActivities
    * [[SOCR_EduMaterials_Activities_BallAndRunExperiment | SOCR Ball And Urn Experiment]] * [[SOCR_EduMaterials_Activities_RedAndBlackExperiment | SOCR Red And Black Experiment]]
    6 KB (573 words) - 14:03, 15 October 2013
  • SOCR EduMaterials AnalysesActivities
    …_AnalysisActivities_ANOVA_2 | SOCR Two-Way Analysis of Variance Activity]] and [[SOCR_Activity_ANOVA_SnailsSexualDimorphism | SOCR 2-Way ANOVA Snails Sex…
    3 KB (333 words) - 05:50, 6 February 2013
  • SOCR EduMaterials ModelerActivities
    * [[SOCR_EduMaterials_ModelerActivities_NormalBetaModelFit | Normal and Beta Model Fitting Activity]]
    660 B (79 words) - 19:29, 7 June 2011
  • SOCR EduMaterials ChartsActivities
    …PointSegmentation_EM_Mixture | 2D Point Segmentation using SOCR Graphs, EM and Mixture Modeling]] * [[SOCR_EduMaterials_Activities_CardsCoinsSampling | Cards and Coins Sampling Activity]]
    3 KB (285 words) - 19:54, 25 July 2010
  • SOCR EduMaterials Evaluations
    If you wish to provide feedback on any of the SOCR data, tools and materials, please visit the [http://forums.stat.ucla.edu/socr SOCR Forum] …
    848 B (106 words) - 17:47, 15 March 2010
  • About pages for SOCR Chart
    … to the [[About_pages_for_SOCR_Chart_List | Complete List of SOCR Charts]] and the [[SOCR_Videos_Charts | Charts Video Tutorials]] …or hold on the left mouse button and focus on the area you want to zoom in and grag toward lower_right corner.
    1 KB (212 words) - 18:18, 26 July 2010
  • SOCR Help Pages
    … selection. In these cases you can click on the slider, then use the right and left arrow keys for one-number incremental change.**********'''
    1 KB (155 words) - 04:19, 27 November 2013
  • About pages for SOCR Distributions
    …[SOCR_EduMaterials_DistributionsActivities | Distribution Activities]] and and the [[SOCR_Videos_Distributions | Distribution Video Tutorials]].
    19 KB (2518 words) - 01:02, 7 February 2010
  • SOCR Events SOCR CAUSEway Workshop2007
    …tle: Pedagogical Utilization of SOCR and CAUSEweb Resources in Probability and Statistics Courses == == Workshop Summary and Goals ==
    16 KB (2232 words) - 22:29, 5 January 2011
  • SOCR EduMaterials Activities ConfidenceIntervals
    …le-size, confidence level, the size of the constructed confidence interval and the practical utilization of Confidence Intervals in statistical data anal… Chose the confidence level (α), the sample-size and the number of experiments (see the image below). Click on the <nowiki><STE…
    4 KB (513 words) - 06:03, 24 November 2009
  • Available SOCR Development Projects
    …n. We have only limited resources to support software and tool development and most people proposing a development project (from this list or novel inves… …tp://www.socr.umich.edu/html/SOCR_Research.html SOCR Current R&D Projects] and [https://socr.umich.edu/docs/uploads/2021/SOCR_MDP_2021_Projects.pdf SOCR-…
    3 KB (396 words) - 17:57, 12 December 2020
  • SOCR ProposalSubmissionGuidelines
    ==This [[SOCR]] Wiki page describes the protocol for writing and submitting a SOCR proposal== ** These are projects that propose to design and disribute new [[SOCR]] educational materials (e.g., [[SOCR_EduMaterials]])
    3 KB (383 words) - 23:03, 23 May 2011
  • SOCR-R Interface Development Project
    …op an agile and functional interface between the Java-based SOCR utilities and the C++/C-based R tools, that allows [[SOCR]] to utilize variety of R reso… …': Research these two projects ([[SOCR]] and [http://www.r-project.org R]) and consider drafting a project specification with details on what, when, how,…
    2 KB (386 words) - 20:01, 8 December 2009
  • SOCR EduMaterials Activities Poisson Distribution
    * '''Exercise 1:''' Use SOCR to graph and print the distribution of a Poisson random variable with <math> \lambda=2 … * '''Exercise 2:''' Use SOCR to graph and print the distribution of a Poisson random variable with <math> \lambda=15…
    2 KB (364 words) - 16:57, 11 December 2013
  • SOCR Internationalization Project
    …he available languages, type of resource translation, allow easy extension and require low maintenance. … in as many languages as possible. This framework should be easy to update and revise - for example if better translators for certain languages become av…
    3 KB (437 words) - 20:01, 8 December 2009
  • Redesign and Expansion of the SOCR Modeler Project
    To redesign and expand the utility of the [[SOCR]] [http://www.socr.ucla.edu/htmls/SOCR_Mo… …ges and consists of a collection of applets that allow sampling/simulation and model-fitting. It currently allows fitting several distribution, Fourier o…
    6 KB (862 words) - 13:43, 27 March 2017
  • SOCR EduMaterials ModelerActivities MixtureModel 1
    This is a SOCR Activity that demonstrates random sampling and fitting of mixture models to data …plicated processes. Extensive demonstrations of mixture modeling in 1D, 2D and 3D are available on the [[SOCR_EduMaterials_Activities_2D_PointSegmentatio…
    7 KB (1044 words) - 22:10, 19 December 2009
  • SOCR EduMaterials Activities GeneralCentralLimitTheorem
    …_sim/sampling_dist/ RVLS CLT applet] by extending the applet functionality and providing the capability of sampling from any [[About_pages_for_SOCR_Distr… * Motivate and facilitate learning of the [[AP_Statistics_Curriculum_2007_Limits_CLT | CL…
    9 KB (1381 words) - 17:11, 12 February 2020
  • SOCR EduMaterials Activities GCLT Applications
    …nt. You may find it useful going back abd forth between these applications and the formal CLT activity. …, the CLT-based calculation is less intense and more appealing to students and trainees, compared to computing the exact probability.
    11 KB (1717 words) - 15:25, 24 May 2010
  • SOCR Partners
    == [http://wiki.stat.ucla.edu/socr SOCR Wiki] - SOCR Collaborators and Partners == …s that involved exchange of ideas, resources, tools, educational materials and listings of resources.
    3 KB (432 words) - 17:03, 2 September 2010
  • SOCR Media
    …Newsletter] profiled SOCR faculty, summarized SOCR accomplishments, awards and publications in its [http://moments.stat.ucla.edu/ss08/Spring-Summer-2008.… …oid.ucla.edu/edtech/bpcaward/2008-video-christou (video-stream) Interview] and an [http://www.today.ucla.edu/campus/080520_online_stats-aid/ UCLA Today] …
    4 KB (527 words) - 19:10, 30 January 2018
  • SOCR EduMaterials Activities 2D PointSegmentation EM Mixture
    …ials - Activities]] - SOCR Activity Demonstrating Expectation Maximization and Mixture Modeling == This activity demonstrates mixture modeling and expectation maximization (EM) applied to the problem of 2D point cluster s…
    12 KB (1803 words) - 21:01, 25 May 2016
  • SOCR Wiki Educational Materials Expansion Project
    …uMaterials | SOCR Activities]] with new modular or meta hands-on exercises and activities that utilize the available [http://www.socr.ucla.edu SOCR tools… …strate the power of various statistical techniques, experimental processes and interactive Java applets.
    4 KB (608 words) - 21:58, 25 July 2011
  • SOCR EduMaterials Activities CardExperiment
    … an interval from 1 to 13 where 1 represents ace, 11 as jack, 12 as queen, and 13 as king. The suits are either 0 (clubs), 1(diamonds), 2(hearts), or 3(s… …awer, a black pen from the pencil box, a plastic cup in the kitchen, etc.) and enforce the knowledge of these events.
    6 KB (986 words) - 17:06, 19 November 2009
  • Power Analysis for Normal Distribution
    …n of the null (mu_0) and alternative (mu_A) hypothesis, significance level and hypothesis type). …deviation, mean of the null and alternative hypothesis, significance level and hypothesis type).
    5 KB (702 words) - 21:55, 6 July 2012
  • SOCR EduMaterials Activities BetaEstimateExperiment
    …distribution, the Beta Estimate Experiment illustrates the effects of bias and precision in parameter estimation. …ns defined on an interval differing in the values of the two parameters, a and 1. This experiment is to generate a random sample <math>X_1, X_2, ..., X_n…
    5 KB (719 words) - 13:38, 3 September 2014
  • SOCR EduMaterials Activities CoinfidenceIntervalExperiment
    … experiment randomly samples from a N(μ=0, σ<sup>2</sup>=1) distribution and constructs a confidence interval for the mean (μ). Note how confidence in… … level and sample-size on the size of the constructed confidence interval, and utilizing this experiment when sampling from almost all symmetric unimodal…
    3 KB (485 words) - 00:53, 1 June 2011
  • SOCR EduMaterials Activities ChuckALuckExperiment
    …ach update. Random variable W gives the gambler’s net profit on a $1 bet and it is recorded in the first table after each run. …Also, the empirical density of W is shown in red in the second picture box and it is recorded in the second table.
    5 KB (809 words) - 00:11, 2 November 2012
  • SOCR EduMaterials AnalysisActivities NormalPower
    …articular, it shows how to use Power Analysis Tool for Normal Distribution and how to read the results. === …s, standard deviation, and significance level. The power will be computed, and graph of power will be provided. Normal curves of the data, as well as the…
    3 KB (437 words) - 14:59, 18 December 2013
  • SOCR Videos
    * [[SOCR_Videos_General | General SOCR Video Tutorials and Animations]] * [[SOCR Course and Training Videos| Course and Training Videos]]
    2 KB (240 words) - 12:54, 5 October 2018
  • SOCR Videos General
    == [[SOCR Videos]]: General SOCR Video Tutorials and Animations == …a Analytics Workshop], webcast [https://youtu.be/_VOcmj0PrhQ Video Part 1] and [https://youtu.be/GZBCXcsa80o Video Part 2].
    2 KB (361 words) - 21:10, 4 January 2019
  • SOCR EduMaterials Activities RouletteExperiment
    …nd 1-36. Slots 00 and 0 are green. Half of the slots numbered 1-36 are red and half are black. The experiment consists of rolling a ball in a groove in t… Bet on 1: this is an example of a straight bet, and the bet pays 35:1
    5 KB (746 words) - 21:44, 21 December 2010
  • Probability and statistics EBook
    …rs, researchers and educators are encouraged to contribute to this project and improve the content of these learning materials. …rmation technology, scientific techniques and modern pedagogical concepts, and is multilingual.
    31 KB (4243 words) - 15:39, 3 September 2014
  • SOCR EduMaterials Activities SamplingDistributionCLTExperiment
    …d their corresponding sample counterparts. For example, population mean/SD and sample mean/SD, symmetry, distribution shape, etc. …, sample, sample distribution, sampling distribution, parameter estimator, and data-driven numerical parameter estimate are reinforced.
    4 KB (574 words) - 15:32, 27 May 2010
  • SOCR EduMaterials Activities Uniform E EstimateExperiment
    …bution on (0, 1)]. The distribution density is shown in blue in the graph, and on each update, the sample density is shown in red. On each update, the fo… …he [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] and select the '''Uniform E-Estimate Experiment''' from the drop-down list of …
    4 KB (576 words) - 23:31, 1 November 2012
  • SOCR EduMaterials AnalysisActivities SLR
    …cal Computing. In particular, it shows how to use Simple Linear Regression and how to interpret the results. === … independent variable and one dependent variable, both being quantitative, and models the relationship between them.
    6 KB (911 words) - 19:24, 13 August 2012
  • AP Statistics Curriculum 2007 IntroVar
    …ct. The table below shows the demographic characteristics for the subjects and patients included in this study, where the following notation is used M: m… Models and strategies for solving problems and understanding data and inferences.
    5 KB (705 words) - 17:48, 31 March 2013
  • EBook Problems Prob Count
    …r. Let Y = the probability that both of your cards are diamonds. Compare X and Y.
    626 B (100 words) - 20:52, 10 February 2010
  • SOCR EduMaterials AnalysisActivities OneT
    …duMaterials_AnalysisActivities_TwoPairedSign Two Paired Sample Sign Test], and [http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials_AnalysisActivi… On the right panel, first click on '''EXAMPLE 1''' and next click on "Data" to retrieve the demonstrated example. Note that for t…
    4 KB (625 words) - 03:34, 8 November 2012
  • SOCR EduMaterials AnalysisActivities Wilcoxon
    …ple. This example is based on the data taken from "Mathematical Statistics and Data Analysis" by John A. Rice, Second Edition, Ducbury Press, 1995. (Page… On the right panel, first click on '''EXAMPLE 1''' and next click on "Data" to retreive the demonstrated example. This is the exa…
    3 KB (402 words) - 18:08, 2 April 2010
  • SOCR EduMaterials AnalysisActivities ANOVA 2
    …er, disease severity, etc.) Subjects are grouped by one demographic-factor and then randomly assigned one treatment-factor (hence two-way!) …tivational example demonstrating the need and utilization of 2-Way designs and analyses [http://www.uwsp.edu/psych/stat/13/anova-2w.htm can be found here…
    5 KB (769 words) - 23:55, 28 November 2012
  • AP Statistics Curriculum 2007 IntroUses
    …culum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Uses and Abuses of Statistics ==Uses and Abuses of Statistics==
    7 KB (953 words) - 15:41, 3 April 2013
  • AP Statistics Curriculum 2007 IntroDesign
    …lum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Design and Experiments …makes sense in studies where variation, chance and uncertainly are present and unavoidable. Data, or information, is typically collected in regard to a s…
    9 KB (1243 words) - 19:22, 28 December 2010
  • AP Statistics Curriculum 2007 IntroTools
    ==Statistics with Tools (Calculators and Computers)== …programs that automate these calculations for greater efficiency, accuracy and consistency in applying the model to larger datasets.
    8 KB (1214 words) - 15:54, 5 April 2013
  • AP Statistics Curriculum 2007 Format
    …n the [[SOCR_EduMaterials_GuidelinesWikiEditing |SOCR Wiki Editing Guide]] and the instructions below when expanding, revising or improving the materials… * '''Motivation/Problem''': A real data set and fundamental challenge.
    1 KB (124 words) - 05:06, 24 July 2011
  • AP Statistics Curriculum 2007 EDA Freq
    … The 30<sup>th</sup> percentile is the value (measurement) bound above 30% and below 70% of the observations from a process. …ial cases of percentiles for Q<sub>1</sub>=25%, Q<sub>2</sub>=50% (median) and Q<sub>3</sub>=75%.
    3 KB (418 words) - 18:50, 28 June 2010
  • AP Statistics Curriculum 2007 EDA Pics
    There are [[SOCR_EduMaterials_ChartsActivities | a variety of graphs and plots]] that may be used to display data. … also classified by type: ''beef'', ''poultry'', and ''meat'' (mostly pork and beef, but up to 15% poultry meat). For now we will focus on the calories …
    6 KB (884 words) - 15:55, 29 June 2010
  • AP Statistics Curriculum 2007 EDA Center
    … '''Shape'''. The main measures of centrality are '''mean''', '''median''' and '''mode'''. …n carry an experiment by randomly selecting eight male statistics students and ask them to perform the standing long jump. In reality every student part…
    10 KB (1525 words) - 02:04, 2 May 2013
  • AP Statistics Curriculum 2007 EDA Var
    ===Measures of Variation and Dispersion=== …n carry an experiment by randomly selecting eight male statistics students and ask them to perform the standing long jump. In reality every student part…
    7 KB (988 words) - 22:25, 16 November 2011
  • AP Statistics Curriculum 2007 EDA Shape
    ** We can use the [[AP_Statistics_Curriculum_2007_EDA_Center | mean and median]] to help interpret the shape of a distribution. For an unimodal di… Collect data, draw the sample histogram or dot-plot and classify the shape of the distribution accordingly. Also, if unimodal, cl…
    2 KB (332 words) - 21:14, 4 June 2010
  • AP Statistics Curriculum 2007 EDA Plots
    …that should be employed in concert on the same set of data to make a valid and robust inference. The objectives of EDA are to: * Support the selection of appropriate statistical tools and techniques
    2 KB (255 words) - 16:50, 28 June 2010
  • AP Statistics Curriculum 2007 Prob Basics
    … the first definition of ''probability''. This manuscript was only in 1576 and then printed in 1663. …espondence between Pascal and Fermat led to the formulation of probability and expectation.
    14 KB (2221 words) - 13:22, 13 April 2018
  • AP Statistics Curriculum 2007 Prob Rules
    …older weather (C) is 30%, chance of rain (R) and colder weather (C) is 15% and the chance of rain or colder weather is 75%. What is the chance of rain. T… …Y}(x,y)\). If ''A'' and ''B'' (non-trivial) are subsets of the ranges of X and Y (e.g., intervals), then:
    13 KB (2177 words) - 15:46, 19 April 2013
  • AP Statistics Curriculum 2007 Prob Simul
    …rt lands inside A, under certain conditions (e.g., the dart must land in S and each location of S is equally likely to be hit by the dart)? …robability) of the set (or event) A. For the instance of throwing 15 darts and having 7 land inside of A, the simulation-based estimate of the area (or p…
    9 KB (1438 words) - 14:00, 15 October 2013
  • AP Statistics Curriculum 2007 Prob Count
    …(repetitions allowed). For example, if you have the letters A, B, C, and D and you wish to discover the number of ways to arrange them in three letter pa… …ny of the four values, for the second slot you can choose any of the four, and for the final slot you can choose any of the four letters. Multiplying the…
    16 KB (2509 words) - 01:52, 17 April 2013
  • AP Statistics Curriculum 2007 Distrib RV
    … General Advance-Placement (AP) Statistics Curriculum]] - Random Variables and Probability Distributions== …dom. So, instead of studying the raw outcomes of experiments (e.g., define and compute probabilities), most of the time we study (or compute probabilitie…
    14 KB (2166 words) - 18:44, 18 March 2016
  • AP Statistics Curriculum 2007 Distrib Binomial
    …ent (AP) Statistics Curriculum]] - Bernoulli and Binomial Random Variables and Experiments== …st common notations of the outcomes of a Bernoulli process are ''success'' and ''failure'', even though these outcome labels should not be construed lite…
    8 KB (1170 words) - 18:21, 2 February 2011
  • AP Statistics Curriculum 2007 Distrib Dists
    …rriculum]] - Geometric, HyperGeometric, Negative Binomial Random Variables and Experiments== : Let r=(1-p), then p=(1-r) and <math>\sum_{k=0}^{n} p(1-p)^k = \begin{align}
    27 KB (4076 words) - 19:41, 23 June 2012
  • AP Statistics Curriculum 2007 Distrib Poisson
    … Advance-Placement (AP) Statistics Curriculum]] - Poisson Random Variables and Experiments== === Poisson Random Variables and Experiments===
    7 KB (1135 words) - 16:52, 3 February 2012
  • AP Statistics Curriculum 2007 Normal Std
    …Advance-Placement (AP) Statistics Curriculum]] - Standard Normal Variables and Experiments== …y are these two functions, <math>f(x), \Phi(y)</math> well-defined density and distribution functions, i.e., <math>\int_{-\infty}^{\infty} {f(x)dx}=1</ma…
    6 KB (845 words) - 16:34, 8 February 2012
  • AP Statistics Curriculum 2007 Normal Prob
    …-Placement (AP) Statistics Curriculum]] - Non-Standard Normal Distribution and Experiments: Finding Probabilities== …s of symmetric intervals around the origin on x-axis, relative to its mean and variance, as the [[AP_Statistics_Curriculum_2007_Normal_Std |Standard Norm…
    9 KB (1377 words) - 15:54, 3 May 2013
  • AP Statistics Curriculum 2007 Normal Critical
    …-Placement (AP) Statistics Curriculum]] - Non-Standard Normal Distribution and Experiments: Finding Critical Values== === Non-Standard Normal Distribution and Experiments: Finding Scores (Critical Values)===
    4 KB (505 words) - 15:56, 3 May 2013
  • AP Statistics Curriculum 2007 Limits CLT
    …g of the genome, each lab selects a random segment of 1,000,000 base-pairs and counts the number of ATC codons in every segment of 10,000 base-pairs (the… …, the CLT expresses the fact that any sum or average of (many) independent and identically-distributed random variables will tend to be distributed accor…
    7 KB (1113 words) - 20:17, 28 June 2010
  • AP Statistics Curriculum 2007 Limits LLN
    … number of repetitions converges towards ''p'' as the number of (identical and independent) experiments increases. This is an informal statement of the L… … parallels between the formal LLN statements (in terms of sample averages) and the frequent interpretations of the LLN (in terms of probabilities of vari…
    6 KB (977 words) - 16:49, 17 February 2012
  • AP Statistics Curriculum 2007 Limits Norm2Bin
    …)=p(1-p)</math>. Then <math>E(Y)=np</math>, <math>Var(Y)=np(1-p)</math> and <math>SD(Y)= \sqrt{np(1-p)}</math>. If we use the [[AP_Statistics_Curricul… …Statistics_Curriculum_2007_Limits_CLT | CLT]], <math>Z \sim N(0, 1)</math> and <math>Y \sim N [\mu=np, \sigma^2={np(1-p)}]</math>.
    5 KB (803 words) - 02:46, 12 February 2011
  • AP Statistics Curriculum 2007 Limits Poisson2Bin
    : <math>n \geq 20</math> and <math>p \leq 0.05</math>. …ution]] can be approximated well by Poisson when <math> n </math> is large and <math> p </math> is small with <math> np < 10 </math>, as stated above. T…
    2 KB (344 words) - 17:06, 28 June 2010
  • AP Statistics Curriculum 2007 Limits Bin2HyperG
    …riculum_2007_Distrib_Dists | <math>X \sim Hypergeometric(m, N, n)</math>]] and <math>p=m/N</math>. …If <math>N</math> and <math>m</math> are large compared to <math>n</math>, and <math>p</math> is not close to 0 or 1, then <math>P(X \le x) \approx P(Y \…
    2 KB (350 words) - 20:22, 28 June 2010
  • AP Statistics Curriculum 2007 Limits Norm2Poisson
    …>x_o</math> is a non-negative integer, <math>X\sim Poisson(\lambda)</math> and <math>U\sim Normal(\mu=\lambda, \sigma^2=\lambda</math>), then <math>P_X(X… …hour the number of cars that arrive at this parking lot will be between 54 and 62. We can compute this as follows:
    4 KB (513 words) - 13:49, 18 September 2014
  • AP Statistics Curriculum 2007 Estim L Mean
    This section discusses how to find point and interval estimates when the sample-sizes are large. For most applications,… … a ''<math>(1-\alpha)100</math>% confidence interval'' for that parameter, and the ends of the CI are called ''confidence limits''. For example, a 95% co…
    8 KB (1160 words) - 17:31, 20 May 2011
  • AP Statistics Curriculum 2007 Estim S Mean
    …pically < 30 observations. Naturally, the point estimates are less precise and the interval estimates produce wider intervals, compared to the case of [[… …an, we must have evidence that the data we observed and used for the point and interval estimates come from a distribution which is (approximately) ''Nor…
    8 KB (1070 words) - 17:06, 18 May 2011
  • AP Statistics Curriculum 2007 Estim Proportion
    …, we will modify the '''sample-proportion''' <math>\hat{p}</math> slightly and obtain the '''corrected-sample-proportion''' <math>\tilde{p}</math>: The confidence intervals for the sample proportion <math>\hat{p}</math> and the corrected-sample-proportion <math>\tilde{p}</math> are given by
    7 KB (1105 words) - 01:32, 11 March 2011
  • AP Statistics Curriculum 2007 Estim Var
    In manufacturing, and many other fields, controlling the amount of variance in producing machine… === Point Estimates of Population Variance and Standard Deviation===
    6 KB (901 words) - 16:55, 27 February 2012
  • AP Statistics Curriculum 2007 Hypothesis Basics
    …cal model and the empirical observations''. This is accomplished by asking and answering a hypothetical question. What is the likelihood of the observed … …t per minute, then the suitcase is not compatible with the null hypothesis and there must be other factors responsible to produce the increased radioacti…
    13 KB (1875 words) - 17:54, 18 November 2015
  • AP Statistics Curriculum 2007 Hypothesis L Mean
    … saw [[AP_Statistics_Curriculum_2007_Estim_L_Mean | how to construct point and interval estimates for the population mean in the large sample case]]. Now… : and <math>z_{\alpha\over 2}</math> is the [[AP_Statistics_Curriculum_2007_Norm…
    7 KB (1035 words) - 15:54, 22 May 2013
  • AP Statistics Curriculum 2007 Hypothesis S Mean
    : and <math>t_{df=n-1, {\alpha\over 2}}</math> is the [[AP_Statistics_Curriculum… * If the population is Normally distributed and we know the population variance, then the [http://en.wikipedia.org/wiki/Hy…
    6 KB (914 words) - 04:42, 7 June 2013
  • AP Statistics Curriculum 2007 Hypothesis Proportion
    …, we will modify the '''sample-proportion''' <math>\hat{p}</math> slightly and obtain the '''corrected-sample-proportion''' <math>\tilde{p}</math>: …ks. He randomly recruits 500 subjects with evidence of early heart disease and has them take one aspirin daily for two years. At the end of the two year…
    6 KB (927 words) - 00:22, 24 April 2013
  • AP Statistics Curriculum 2007 Infer 2Means Dep
    … sample]]. Now, we show how to do hypothesis testing comparing two samples and we begin with the simple case of paired samples. … a direct relationship. For example, measure the weight of subjects before and after a six month diet.
    14 KB (2021 words) - 20:05, 17 June 2013
  • AP Statistics Curriculum 2007 Infer 2Means Indep
    …surements are individually independent from each other within their groups and the groups are independent. The groups may be drawn from different populat… …en two group means. Suppose {<math>X_1, X_2, X_3, \cdots , X_{n_1}</math>} and {<math>Y_1, Y_2, Y_3, \cdots , Y_{n_2}</math>} represent the two independe…
    15 KB (2240 words) - 23:23, 14 February 2014
  • AP Statistics Curriculum 2007 Infer BiVar
    …s_Curriculum_2007_Hypothesis_Var | section on inference about the variance and the standard deviation]], we already learned how to do inference on either… …unbiased point estimate for the population variance <math>\sigma^2</math>, and similarly, the [[AP_Statistics_Curriculum_2007_EDA_Var | sample-standard-d…
    7 KB (1067 words) - 14:50, 14 February 2014
  • AP Statistics Curriculum 2007 Infer 2Proportions
    and {<math>Y_1, Y_2, Y_3, \cdots, Y_k</math>}, where each <math>X_i</math> and <math>Y_i</math> represents whether the ''i<sup>th</sup>'' observation in … 1,& \texttt{Characteristic-present}.\end{cases}</math> and <math>Y_i = \begin{cases}0,& \texttt{Characteristic-absent},\\
    6 KB (919 words) - 17:30, 28 June 2010
  • AP Statistics Curriculum 2007 GLM Corr
    …X,Y'') - for example, the [[SOCR_Data_Dinov_020108_HeightsWeights | height and weight of individuals]]. There are 3 types of lines in 2D planes - Vertical Lines, Horizontal Lines and Oblique Lines. In general, the mathematical representation of lines in 2D …
    14 KB (2016 words) - 14:49, 15 August 2016
  • AP Statistics Curriculum 2007 GLM Regress
    …X,Y'') - for example, the [[SOCR_Data_Dinov_021708_Earthquakes | Longitude and Latitude of the SOCR Earthquake dataset]]. There are 3 types of lines in 2D planes - Vertical Lines, Horizontal Lines and Oblique Lines. In general, the mathematical representation of lines in 2D …
    8 KB (1271 words) - 19:25, 13 August 2012
  • AP Statistics Curriculum 2007 GLM Predict
    …_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Variation and Prediction Intervals == …ave again ''n'' pairs ''(X,Y)'', {<math>X_1, X_2, X_3, \cdots, X_n</math>} and {<math>Y_1, Y_2, Y_3, \cdots, Y_n</math>}, of observations of the same pro…
    5 KB (809 words) - 20:54, 28 June 2010
  • AP Statistics Curriculum 2007 GLM MultLin
    …as a model, of the relationship between one '''dependent''' variable ''Y'' and many '''independent''' variables ''X''<sub>''i''</sub>, ''i'' = 1, ..., ''… The coefficient <math>\beta_0</math> is the intercept ("constant" term) and <math>\beta_i</math>s are the respective parameters of the '' p'' independ…
    23 KB (3584 words) - 00:02, 2 May 2013
  • AP Statistics Curriculum 2007 Contingency Fit
    …most situations, the data histogram or frequency histogram may be obtained and the Chi-Square Test may be applied to these (frequency) values. This test … …it Test may also be applied to discrete distributions such as the Binomial and the Poisson. The Kolmogorov-Smirnov Test is restricted to continuous distr…
    10 KB (1454 words) - 19:07, 4 April 2013
  • AP Statistics Curriculum 2007 Contingency Indep
    …-Placement (AP) Statistics Curriculum]] - Contingency Tables: Independence and Homogeneity == === Contingency Tables: Independence and Homogeneity ===
    10 KB (1503 words) - 21:12, 28 June 2010
  • AP Statistics Curriculum 2007 Preface
    …ta-driven, graphical and completely reproducible by educators, researchers and students. … in this book can be freely used, tested and reproduced by anyone, anytime and anywhere, provided access to the Internet via a modern web-browser is avai…
    4 KB (613 words) - 16:20, 16 July 2010
  • AP Statistics Curriculum 2007 IntroTools Data1
    …plete data table is also available online]. These data represent the means and standard deviations of the [http://en.wikipedia.org/wiki/Magnetic_resonanc… …ain Tissue Assessment in the Elderly and Demented Population: Construction and Validation of a Sub-Volume Probabilistic Brain Atlas], [http://www.science…
    3 KB (344 words) - 15:52, 5 April 2013
  • AP Statistics Curriculum 2007 NonParam 2MedianPair
    …Chapter_VIII:_Hypothesis_Testing | parametric tests that we saw earlier]], and are applicable when the distribution of the data is unknown. …h'' and ''without'' renal failure. A relative risk of 1.0 means no effect, and relative risk <math>\not= 1</math> suggests beneficial or detrimental effe…
    16 KB (2045 words) - 20:15, 6 August 2010
  • AP Statistics Curriculum 2007 NonParam 2MedianIndep
    …Chapter_VIII:_Hypothesis_Testing | parametric tests that we saw earlier]], and they are applicable when the distribution of the data is unknown. …ations in each (independent) group. Test using <math>\alpha = 0.05</math>, and be sure to check any necessary assumptions for the validity of your test.
    7 KB (1099 words) - 21:05, 28 June 2010
  • AP Statistics Curriculum 2007 NonParam 2PropIndep
    If the samples are independent and we are interested in the differences in the proportions of subjects of the… …eatment. The test requires the same subjects to be included in the before- and after-treatment measurements (matched pairs).
    5 KB (787 words) - 17:41, 28 June 2010
  • AP Statistics Curriculum 2007 NonParam ANOVA
    …tudents are randomly assigned to be taught with four different techniques, and their achievement test scores are recorded. Are the distributions of test … The small sample sizes and the lack of distribution information of each sample illustrate how ANOVA m…
    5 KB (808 words) - 21:06, 28 June 2010
  • SOCR EduMaterials AnalysisActivities MLR
    …l Computing. In particular, it shows how to use Multiple Linear Regression and how to read the output results. === … and one dependent and one or more variable, both sets being quantitative, and models the relationship between them. SOCR has another activity set for Si…
    7 KB (1126 words) - 17:08, 24 September 2012
  • SOCR Data
    …types of data - '''simulated''' (computer-generated using random sampling) and '''observed''' (research, observationally or experimentally acquired). …ch experiment reports random outcomes, sample and population distributions and summary statistics.
    10 KB (1277 words) - 12:16, 6 September 2018
  • SOCR EduMaterials AnalysisActivities Friedman
    '''1.''' The data of this example has 4 groups: A, B, C and D. Click on "''' Friedman's Test'''" from the combo box in the left panel. …e the current groups and start over, simply go to the '''Mapping''' button and take the groups you want.
    3 KB (470 words) - 20:14, 10 January 2013

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