A whirl-wind tour of the statistics used in behavioral science research, covering …
A whirl-wind tour of the statistics used in behavioral science research, covering topics including: data visualization, building your own null-hypothesis distribution through permutation, useful parametric distributions, the generalized linear model, and model-based analyses more generally. Familiarity with MATLABA, Octave, or R will be useful, prior experience with statistics will be helpful but is not essential. This course is intended to be a ground-up sketch of a coherent, alternative perspective to the "null-hypothesis significance testing" method for behavioral research (but don't worry if you don't know what this means).
This course is a broad treatment of statistics, concentrating on specific statistical …
This course is a broad treatment of statistics, concentrating on specific statistical techniques used in science and industry. Topics include: hypothesis testing and estimation, confidence intervals, chi-square tests, nonparametric statistics, analysis of variance, regression, correlation, decision theory, and Bayesian statistics.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This applet allows the user to adjust the degrees of freedom of …
This applet allows the user to adjust the degrees of freedom of the T Distribution with a slider or manual input. The applet allows the user to fix the x and or y axes. The user immediately sees how this affects the shape of the graph.
The applet in this section allows you to see how the T …
The applet in this section allows you to see how the T distribution is related to the Standard Normal distribution by calculating probabilities. The T distribution is primarily used to make inferences on a Normal mean when the variance is unknown.
This course covers topics such as sums of independent random variables, central …
This course covers topics such as sums of independent random variables, central limit phenomena, infinitely divisible laws, Levy processes, Brownian motion, conditioning, and martingales.
This activity teaches students about the setting of Harper Lee’s famous novel …
This activity teaches students about the setting of Harper Lee’s famous novel “To Kill a Mockingbird,” which takes place during 3 years (1933–1935) of the Great Depression. Part 1 of this activity can be used before students start reading the novel to help them understand what life was like in the 1930s. In this part, students will examine and answer questions about census documents that feature unemployment numbers and related information. Part 2 can be completed after students have read the first few chapters of the novel. In this part, students will write a piece using the RAFT technique (role, audience, format, topic) to show what they learned about the 1930s and what they have read so far.
This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around …
This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around 1945 and deals with order statistics and ranks, allowing very general distributions. For multidimensional nonparametric statistics, an early approach was to choose a fixed coordinate system and work with order statistics and ranks in each coordinate. A more modern method, to be followed in this course, is to look for rotationally or affine invariant procedures. These can be based on empirical processes as in computer learning theory. Robustness, which developed mainly from around 1964, provides methods that are resistant to errors or outliers in the data, which can be arbitrarily large. Nonparametric methods tend to be robust.
The main goal of this course is to study the generalization ability …
The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms such as boosting, support vector machines and neural networks. Topics include Vapnik-Chervonenkis theory, concentration inequalities in product spaces, and other elements of empirical process theory.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This course provides an introduction to probability and statistics, with emphasis on …
This course provides an introduction to probability and statistics, with emphasis on engineering applications. Course topics include events and their probability, the Total Probability and Bayes' Theorems, discrete and continuous random variables and vectors, uncertainty propagation and conditional analysis. Second-moment representation of uncertainty, random sampling, estimation of distribution parameters (method of moments, maximum likelihood, Bayesian estimation), and simple and multiple linear regression. Concepts illustrated with examples from various areas of engineering and everyday life.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
Students will predict how many amusement parks are in their state. They …
Students will predict how many amusement parks are in their state. They will then analyze census data on the numbers of amusement parks in all 50 states in 2016. (Data in this activity do not include the District of Columbia or Puerto Rico.) Then students will write numbers as fractions and create a visual model of the data.
Students will explore an interactive data visualization of state-by-state population growth as …
Students will explore an interactive data visualization of state-by-state population growth as measured by the decennial censuses of 1790 through 2010. Students will also analyze and make inferences about the causes of more recent shifts in U.S. population.
Plickers (clikers, simplified) is a quick was to assess students learning. Download …
Plickers (clikers, simplified) is a quick was to assess students learning. Download the Plickers Ap, pass out a card to each student, ask a question and scan cards for immediate response!
Students will examine questions from 1940, 1960, and 2010 census questionnaires to …
Students will examine questions from 1940, 1960, and 2010 census questionnaires to analyze socioeconomic changes in the U.S. population before and after World War II.
For this task, Minitab software was used to generate 100 random samples …
For this task, Minitab software was used to generate 100 random samples of size 16 from a population where the probability of obtaining a success in one draw is 33.6% (Bernoulli). Given that multiple samples of the same size have been generated, students should note that there can be quite a bit of variability among the estimates from random samples and that on average, the center of the distribution of such estimates is at the actual population value and most of the estimates themselves tend to cluster around the actual population value.
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