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- SOCR EduMaterials Activities Bivariate …'''Setting''': This experiment consists of selecting values for the random variables X and Y which are jointly normally distributed as a bivariate normal f(X,…4 KB (598 words) - 17:03, 9 July 2007
- SOCR EduMaterials Activities CLT == Distribution of the sample average of several IID random variables== …hat the Central Limit holds regardless of the distribution of the original random variable if n is large enough ===8 KB (1360 words) - 04:20, 19 October 2006
- SOCR EduMaterials Surveys Fall2005Sanchez Results <li class="MsoNormal" style="color: red;">Probability, random variables, discrete cases</li>37 KB (5115 words) - 16:48, 12 June 2006
- About pages for SOCR Experiments random chord of a circle. In the <span class="SpellE">simulation, one</span> point of the chord is fixed at (1, 0) and the other random point (X, Y)151 KB (24003 words) - 22:20, 5 July 2008
- Help pages for SOCR Analyses # Use random dataset generated by the SOCR Analyses '''RANDOM EXAMPLE''' button. … '''MAPPING''' button must be clicked to map the variables, e.g. assigning variables to either the regressor or the response, in a simple linear regression.3 KB (403 words) - 05:30, 2 December 2008
- SOCR EduMaterials Activities MontyHall '''a.''' There are three random variables (<math> G, S, W </math>) and one parameter (<math> p </math>) involved in …2 KB (422 words) - 23:46, 8 February 2008
- SOCR EduMaterials Activities DiceExperiment The following random variables are recorded on each update: Any one of these variables can be selected with a list box. The density and moments of the selected v…4 KB (662 words) - 21:26, 24 January 2008
- SOCR EduMaterials Activities CoinDieExperiment * There are two random variables (<math> X, \ Y </math>), one parameter (<math> p </math>) for the coin, an…4 KB (589 words) - 22:01, 12 September 2008
- SOCR EduMaterials Activities LawOfLargeNumbers … The graph panel in the middle will dynamically plot the values of the two variables of interest (''proportion of heads'' and ''difference of Heads and Tails''… … interactively several times. Notice the behavior of the graphs of the two variables we study. Try to pose and answer questions like these:14 KB (2255 words) - 22:33, 16 January 2009
- SOCR EduMaterials Activities LawOfLargeNumbers2 …ill display the theoretical distribution and the sample histogram for this random experiment (for the proportion of Heads). One would expect to obtain a goo… … interactively several times. Notice the behavior of the graphs of the two variables we study. Try to pose and answer questions like these:9 KB (1479 words) - 18:10, 20 February 2007
- SOCR EduMaterials Activities RNG …EduMaterials_Activities | SOCR Educational Materials - Activities]] - SOCR Random Number Generation (RNG) Activity == This activity describes the need, general methods and SOCR utilities for random number generation and simulation. [http://www.socr.ucla.edu/htmls/SOCR_Mod…8 KB (1222 words) - 01:32, 3 May 2008
- SOCR EduMaterials Activities 2D PointSegmentation EM Mixture …bservations) either via the Data-Tab, using copy-and-paste, or via the add random points button ('''RandomPts'''). This applet was designed specifically so … … techniques. Kernel locations are generally non trivial to choose - we use random initial kernel locations ('''InitKernels''' button). The '''drop-down list…12 KB (1803 words) - 21:01, 25 May 2016
- SOCR EduMaterials Activities BallAndRunExperiment With a total of ''n'' balls chosen at random from an urn, ''R'' are red and ''(N-R)'' are green. For every trial, the n… … chosen without bias and develop a common sense about the behaviors of the variables.5 KB (760 words) - 17:29, 4 October 2008
- SOCR EduMaterials Activities CoinSampleExperiment …'n'' coins being tossed with the probability ''p'' of heads as an outcome. Random variable Ij gives the outcome for coin ''j'' with 1 representing heads and… The coin sample experiment is significant for random, categorical variables that may be represented by the Bernoulli distribution [[http://wiki.stat.u…3 KB (440 words) - 18:34, 6 February 2008
- SOCR EduMaterials Activities BirthdayExperiment … of size ''n'' with replacement is drawn during every run. V is the random variables of interest which represent the number of distinct values in the sample, a… …he purpose of this experiment is to draw attention toward the behaviors of random sampling with replacement. The [[SOCR_EduMaterials_Activities_Birthday |se…7 KB (1022 words) - 15:55, 4 April 2008
- SOCR EduMaterials Activities BetaCoinExperiment The Beta Coin Experiment is a random experiment that involves tossing a coin, where the probability of heads is… …etermining the effects of manipulating the probability of two quantitative variables (e.g. heads/tails, success/failure, hot/cold, etc.) from a population and …4 KB (669 words) - 00:58, 16 May 2007
- SOCR EduMaterials Activities CrapsExperiment Random variables X and Y denote the outcomes of the first roll and random variables U and V denote the outcome of the last roll. On each update, these values … …gambling. For example, utilizing this experiment in any event that suggest random sampling but in reality, the likelihood of a success is low compared to fa…5 KB (827 words) - 16:31, 11 May 2007
- SOCR EduMaterials Activities CouponCollectorExperiment Random variable W gives the sample size and is recorded in the first table on eac… To provide a demonstration illustrating events involving random sampling with replacement. Users should obtain a general understanding of …4 KB (584 words) - 01:56, 16 May 2007
- SOCR EduMaterials Activities DiceSampleExperiment To provide a simulation of random processes with distribution tables and graphs. It allows flexibility as th… …sers to understand the different outcomes when drawing the selected random variables with varying probabilities.3 KB (487 words) - 00:58, 19 May 2007
- SOCR EduMaterials Activities DieCoinExperiment …sers to understand the different outcomes when drawing the selected random variables with a varying probability.4 KB (593 words) - 21:30, 13 June 2007
- SOCR EduMaterials Activities LawOfLargeNumbersExperiment …s be similar to the blue distribution graph and the green streak will seem random. The image below shows this: …t and validity of tossing coins repeatedly. In this experiment, two random variables are associated with this process. The first variable will be the proportio…4 KB (567 words) - 17:30, 18 December 2007
- SOCR EduMaterials Activities RandomWalkExperiment == Random Walk Experiment == … variables is recorded in the first table on each update. Any of the three variables can be selected from the list box. The density and moments of the selected…4 KB (575 words) - 07:45, 25 May 2007
- SOCR EduMaterials Activities RandomVariableExperiment == Random Variable Experiment == The experiment simulates a value of a random variable with a specified distribution. The value is recorded on each upda…7 KB (1031 words) - 02:21, 30 January 2008
- SOCR EduMaterials Activities ProportionTestExperiment The experiment is to select a random sample of size ''n'' from the Bernoulli distribution with parameter ''p'',… Variables L and R denote the left and right endpoints of the confidence interval and…5 KB (813 words) - 02:43, 27 May 2007
- SOCR EduMaterials Activities ProportionEstimateExperiment The experiment is to select a random sample of size ''n'' from the Bernoulli distribution with parameter ''p'',… Variables L and R denote the left and right endpoints of the confidence interval and…5 KB (739 words) - 07:53, 25 May 2007
- Probability and statistics EBook … How do we model the rest of the processes that are unpredictable and have random characteristics? …er observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, component…31 KB (4243 words) - 15:39, 3 September 2014
- SOCR EduMaterials Activities VarianceEstimateExperiment …ensity and the critical values of V are shown in blue in the second graph. Variables L and R denote the left and right endpoints of the confidence interval and…5 KB (746 words) - 05:39, 1 June 2007
- SOCR EduMaterials AnalysisActivities SLR ** Scatter plots of the dependent vs. independent variables * Generate random data by clicking on the '''Random Example''' button.6 KB (911 words) - 19:24, 13 August 2012
- AP Statistics Curriculum 2007 IntroVar …ase (AD) patients. The investigators made every attempt to control as many variables as possible. Yet, the demographic information they collected from the outc… * [[SOCR_EduMaterials_Activities_RNG | (Numeric Pseudo-Random) Data Generation]]5 KB (705 words) - 17:48, 31 March 2013
- EBook Problems EDA Pics Two random samples were taken to determine backpack load difference between seniors a… A researcher has collected the following information on a random sample of 200 adults in the 40-50 age range:8 KB (1390 words) - 05:20, 25 January 2009
- AP Statistics Curriculum 2007 IntroDesign …er observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, component… … inference on relationships and influences between controlled and observed variables.9 KB (1243 words) - 19:22, 28 December 2010
- AP Statistics Curriculum 2007 IntroTools … our sample size is large enough. These weight and height measurements are random (i.e., we do not have repeated measurements of the same student or twin-me… …s/SOCR_Modeler.html SOCR Modeler] and [[SOCR_EduMaterials_Activities_RNG | Random Number Generation Activity]]8 KB (1214 words) - 15:54, 5 April 2013
- AP Statistics Curriculum 2007 Prob Rules Suppose X and Y are jointly continuous random variables with a joint density \(ƒ_{X,Y}(x,y)\). If ''A'' and ''B'' (non-trivial) a…13 KB (2177 words) - 15:46, 19 April 2013
- AP Statistics Curriculum 2007 Distrib RV …lum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Random Variables and Probability Distributions== === Random Variables===14 KB (2166 words) - 18:44, 18 March 2016
- AP Statistics Curriculum 2007 Distrib Binomial …nce-Placement (AP) Statistics Curriculum]] - Bernoulli and Binomial Random Variables and Experiments== A Bernoulli trial is an experiment whose dichotomous outcomes are random (e.g., "success" vs. "failure", "head" vs. "tail", +/-, "yes" vs. "no", et…8 KB (1170 words) - 18:21, 2 February 2011
- AP Statistics Curriculum 2007 Distrib Dists …tistics Curriculum]] - Geometric, HyperGeometric, Negative Binomial Random Variables and Experiments== …lum_2007_Distrib_MeanVar | Expected Value]] of a geometrically distributed random variable ''X'' is <math>{1\over p}.</math> This is because [http://en.wiki…27 KB (4076 words) - 19:41, 23 June 2012
- AP Statistics Curriculum 2007 Distrib Poisson … | General 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 …| General Advance-Placement (AP) Statistics Curriculum]] - Standard Normal Variables and Experiments== …ltage.) Denote <math>X_i</math>={measured voltage for battery i} - this is random variable with mean of 0 and unitary variance. Assume the distribution of a…6 KB (845 words) - 16:34, 8 February 2012
- AP Statistics Curriculum 2007 Normal Prob …ns (Suppose ''X'' denotes General and ''Z'' denotes Standard Normal Random Variables): ====Sums and averages of independent Normal random variables====9 KB (1377 words) - 15:54, 3 May 2013
- AP Statistics Curriculum 2007 Normal Critical …ath>) and ''Z'' denotes Standard (<math>Z\sim N(0,1)</math>) Normal random variables): …stributed with a mean of $195 and a standard deviation of $20. If we ask a random college students from this population how much she spent on books this sem…4 KB (505 words) - 15:56, 3 May 2013
- AP Statistics Curriculum 2007 Limits CLT … genome. After completing the sequencing of the genome, each lab selects a random segment of 1,000,000 base-pairs and counts the number of ATC codons in eve… …ny sum or average of (many) independent and identically-distributed random variables will tend to be distributed according to a particular ''Attractor Distribu…7 KB (1113 words) - 20:17, 28 June 2010
- AP Statistics Curriculum 2007 Limits LLN … The graph panel in the middle will dynamically plot the values of the two variables of interest (''proportion of heads'' and ''difference of Heads and Tails''… …n.wikipedia.org/wiki/E_%28mathematical_constant%29 natural number e] using random sampling from [http://socr.ucla.edu/htmls/dist/ContinuousUniform_Distribut…6 KB (977 words) - 16:49, 17 February 2012
- AP Statistics Curriculum 2007 Estim Proportion …istics_Curriculum_2007_Limits_Norm2Bin |sample average or Bernoulli random variables]]. When the sample size is small, the normal approximation may be inadequa…7 KB (1105 words) - 01:32, 11 March 2011
- AP Statistics Curriculum 2007 Hypothesis Proportion …istics_Curriculum_2007_Limits_Norm2Bin |sample average or Bernoulli random variables]]. When the sample size is small, the normal approximation may be inadequa…6 KB (927 words) - 00:22, 24 April 2013
- AP Statistics Curriculum 2007 Hypothesis Var For Normally distributed random variables, given <math>H_o: \sigma^2 = \sigma_o^2</math> vs. <math>H_1: \sigma^2 \no… * Example: A random sample of size 30 drawn from a Normal distribution has sample-variance <ma…6 KB (886 words) - 16:38, 1 May 2008
- AP Statistics Curriculum 2007 Infer 2Means Dep …ious chapter we saw how to do significance testing in the case of a single random sample]]. Now, we show how to do hypothesis testing comparing two samples … …hat members of a pair are similar to each other with respect to extraneous variables.14 KB (2021 words) - 20:05, 17 June 2013
- AP Statistics Curriculum 2007 GLM Corr …cations involve the analysis of relationships, if any, between two or more variables involved in the process of interest. We begin with the simplest of all sit… …ring around a line of multivariate data. The main relationship between two variables (''X, Y'') can be summarized by: <math>(\mu_X, \sigma_X)</math>, <math>(\m…14 KB (2016 words) - 14:49, 15 August 2016
- AP Statistics Curriculum 2007 GLM MultLin …relations in bivariate designs. Now we extend that to any finite number of variables (multivariate case). …ship between one '''dependent''' variable ''Y'' and many '''independent''' variables ''X''<sub>''i''</sub>, ''i'' = 1, ..., ''p''. The multilinear regression m…23 KB (3584 words) - 00:02, 2 May 2013
- AP Statistics Curriculum 2007 Contingency Indep …quare Test may also be used to assess independence and association between variables. …ngency table is to investigate the relationship between the row and column variables10 KB (1503 words) - 21:12, 28 June 2010
- AP Statistics Curriculum 2007 MultiVar ANOVA …he multiple dependent variables, for various categories of the independent variables. There are several specific use-cases for MANOVA. …tegorical independent variables on group differences in a set of dependent variables.20 KB (3157 words) - 21:31, 2 March 2009
