This is a first draft of a free (as in speech, not …
This is a first draft of a free (as in speech, not as in beer, [Sta02]) (although it is free as in beer as well) textbook for a one-semester, undergraduate statistics course. It was used for Math 156 at Colorado State University–Pueblo in the spring semester of 2017.
Background We explore whether the number of null results in large National …
Background We explore whether the number of null results in large National Heart Lung, and Blood Institute (NHLBI) funded trials has increased over time. Methods We identified all large NHLBI supported RCTs between 1970 and 2012 evaluating drugs or dietary supplements for the treatment or prevention of cardiovascular disease. Trials were included if direct costs >$500,000/year, participants were adult humans, and the primary outcome was cardiovascular risk, disease or death. The 55 trials meeting these criteria were coded for whether they were published prior to or after the year 2000, whether they registered in clinicaltrials.gov prior to publication, used active or placebo comparator, and whether or not the trial had industry co-sponsorship. We tabulated whether the study reported a positive, negative, or null result on the primary outcome variable and for total mortality. Results 17 of 30 studies (57%) published prior to 2000 showed a significant benefit of intervention on the primary outcome in comparison to only 2 among the 25 (8%) trials published after 2000 (χ2=12.2,df= 1, p=0.0005). There has been no change in the proportion of trials that compared treatment to placebo versus active comparator. Industry co-sponsorship was unrelated to the probability of reporting a significant benefit. Pre-registration in clinical trials.gov was strongly associated with the trend toward null findings. Conclusions The number NHLBI trials reporting positive results declined after the year 2000. Prospective declaration of outcomes in RCTs, and the adoption of transparent reporting standards, as required by clinicaltrials.gov, may have contributed to the trend toward null findings.
Students typically find linear regression analysis of data sets in a biology …
Students typically find linear regression analysis of data sets in a biology classroom challenging. These activities could be used in a Biology, Chemistry, Mathematics, or Statistics course. The collection provides student activity files with Excel instructions and Instructor Activity files with Excel instructions and solutions to problems.
Students will be able to perform linear regression analysis, find correlation coefficient, create a scatter plot and find the r-square using MS Excel 365. Students will be able to interpret data sets, describe the relationship between biological variables, and predict the value of an output variable based on the input of an predictor variable.
Is there a difference in citation rates between articles that were published …
Is there a difference in citation rates between articles that were published with links to data and articles that were not? Besides being interesting from a purely academic point of view, this question is also highly relevant for the process of furthering science. Data sharing not only helps the process of verification of claims, but also the discovery of new findings in archival data. However, linking to data still is a far cry away from being a "practice", especially where it comes to authors providing these links during the writing and submission process. You need to have both a willingness and a publication mechanism in order to create such a practice. Showing that articles with links to data get higher citation rates might increase the willingness of scientists to take the extra steps of linking data sources to their publications. In this presentation we will show this is indeed the case: articles with links to data result in higher citation rates than articles without such links. The ADS is funded by NASA Grant NNX09AB39G.
The MIT Election Data and Science Lab (MEDSL) supports advances in election …
The MIT Election Data and Science Lab (MEDSL) supports advances in election science by collecting, analyzing, and sharing core data and findings. The lab also aims to build relationships with election officials and others to help apply new scientific research to the practice of democracy in the United States. By applying scientific principles to how elections are studied and administered, MEDSL aims to improve the democratic experience for all U.S. voters. The MIT Election Lab is a founding partner in the Stanford-MIT Healthy Elections Project, which was developed to ensure that the 2020 election can proceed with integrity, safety, and equal access. The project aims to do this by bringing together academics, civic organizations, election administrators, and election administration experts to assess and promote best practices.
We describe a classroom activity in which students use M&M candies to …
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, usually a linear first order, difference or differential equation, collect data, estimate parameters, and compare their model prediction with their actual data.
This Module describes the MTSS, or RTI, framework as applied to mathematics. …
This Module describes the MTSS, or RTI, framework as applied to mathematics. It includes discussions of how MTSS and RTI are related, as well as a description of instruction, assessment, and data-based decision making at each level of intensity: Tier 1, Tier 2, and Tier 3 (est. completion time: 2.5 hours).
This module will look at emerging trends and best practice in data …
This module will look at emerging trends and best practice in data management, quality assessment and IPR issues. We will look at policies regarding data management and their implementation, particularly in the framework of a Research Infrastructure.
Learning Outcomes: By the end of this module, you should be able to: - Understand and describe the FAIR Principles and what they are used for - Understand and describe what a Data Management Plan is, and how they are used - Understand and explain what Open Data, Open Access and Open Science means for researchers - Describe best practices around data management - Understand and explain how Research Infrastructures interact with and inform policy on issues around data management
You can progress through this module in the order in which we present the various sections. However, this is merely a suggestion as to how you might approach this topic. You might choose to skip certain sections depending on your level of previous knowledge in that area. You can navigate this via the menu on the lefthand side.
Each section has a set of resources and tools that you might find useful, as well as a list of items that we recommend for further reading around the subject.
An online technical assistance and distance learning effort covering all aspects of …
An online technical assistance and distance learning effort covering all aspects of curation -- caring for archaeological collections such as objects, records, reports, and digital data -- wherever they may be (in the field, the archeologist's office, the lab, or a repository).
Mapping mangroves is a project dedicated to preservation and understanding of the …
Mapping mangroves is a project dedicated to preservation and understanding of the world's mangrove forests. Through the use of Ushahidi, an open source project that allows for users to crowdsource data, participants will report their findings.
This book is about how to read, use, and create maps. Our …
This book is about how to read, use, and create maps. Our exploration of maps will be informed by a contextual understanding of how maps reflect the relationship between society and technology, and how mapping is an essential form of scientific and artistic inquiry. We will also explore how mapping is used to address a variety of societal issues, such as land use planning and political gerrymandering. You will gain insight into the technical underpinnings of mapping as a science approach, complement on-going interest and activities, or provide an applied focus for research or policy.
The past decade has seen an explosion of new mechanisms for understanding …
The past decade has seen an explosion of new mechanisms for understanding and using location information in widely-accessible technologies. This Geospatial Revolution has resulted in the development of consumer GPS tools, interactive web maps, and location-aware mobile devices. This course brings together core concepts in cartography, geographic information systems, and spatial thinking with real-world examples to provide the fundamentals necessary to engage with Geographic Information Science. We explore what makes spatial information special, how spatial data is created, how spatial analysis is conducted, and how to design maps so that they're effective at telling the stories we wish to share. To gain experience using this knowledge, we work with the latest mapping and analysis software to explore geographic problems.
As I am moving my classroom into a more "flipped" model, I …
As I am moving my classroom into a more "flipped" model, I need to create tracking systems that give me the data I need to know. This spreadsheet is a tracker that I use in class to track learning on classroom assessments. This is a template that I hope others could download and use to their specifications in class. I also created a pivot table that gives me real-time data on a classroom learning team competition that I created.
*Note: My student names have been replaced with a random numeric code for privacy, but I left the data intact to make it easier to figure out how to use the spreadsheet
**Note: The original source formatting of this document is Apache Open Office 3 Database, but you should be able to open it with MS Excel.
Distributions and Variability Type of Unit: Project Prior Knowledge Students should be …
Distributions and Variability
Type of Unit: Project
Prior Knowledge
Students should be able to:
Represent and interpret data using a line plot. Understand other visual representations of data.
Lesson Flow
Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.
Students learn different tools for analyzing data, including:
Measures of center: mean (average), median, mode Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range Visual representations: line plot, box plot, histogram
These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.
To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.
Students use the Box Plot interactive, which allows them to create line …
Students use the Box Plot interactive, which allows them to create line plots and see the corresponding box plots. They use this tool to create data sets with box plots that satisfy given criteria.Students investigate how the box plot changes as the data points in the line plot are moved. Students can manipulate data points to change aspects of the box plot and to see how the line plot changes. Students create box plots that fit certain criteria.Key ConceptsThis lesson focuses on the connection between a data set and its box plot. It reinforces the idea that a box plot shows the spread of a data set, but not the individual data points.Students will observe the following similarities and differences between line plots and box plots:Line plots allow us to see and count individual values, while box plots do not.Line plots allow us to find the mean and the mode of a set of data, while box plots do not.Box plots are useful for very large data sets, while line plots are not.Box plots give us a better picture of how the values in a data set are distributed than line plots do, and they allow us to see measures of spread easily.Goals and Learning ObjectivesExperiment with different line plots to see the effect on the corresponding box plots.Create data sets with box plots that satisfy different criteria.Compare and contrast line plots and box plots.
GalleryCreate a Data SetStudents will create data sets with a specified mean, …
GalleryCreate a Data SetStudents will create data sets with a specified mean, median, range, and number of data values.Bouncing Ball Experiment How high does the class think a typical ball bounces (compared to its drop height) on its first bounce? Students will conduct an experiment to find out.Adding New Data to a Data Set Given a data set, students will explore how the mean changes as they add data values.Bowling Scores Students will create bowling score data sets that meet certain criteria with regard to measures of center.Mean Number of Fillings Ten people sit in a dentist's waiting room. The mean number of fillings they have in their teeth is 4, yet none of them actually have 4 fillings. Students will explain how this situation is possible.Forestland Students will examine and interpret box plots that show the percentage of forestland in 20 European countries.What's My Data?Students will create a data set that fits a given histogram and then adjust the data set to fit additional criteria.What's My Data 2? Students will create a data set that fits a given box plot and then adjust the data set to fit additional criteria.Compare Graphs Students will make a box plot and a histogram that are based on a given line plot and then compare the three graphs to decide which one best represents the data.Random Numbers What would a data set of randomly generated numbers look like when represented on a histogram? Students will find out!No Telephone? The U.S. Census Bureau provides state-by-state data about the number of households that do not have telephones. Students will examine two box plots that show census data from 1960 and 1990 and compare and analyze the data.Who Is Taller?Who is taller—the boys in the class or the girls in the class? Students will find out by separating the class height data gathered earlier into data for boys and data for girls.
This course was originally developed for the Open Course Library project. The …
This course was originally developed for the Open Course Library project. The text used is Math in Society, edited by David Lippman, Pierce College Ft Steilacoom. Development of this book was supported, in part, by the Transition Math Project and the Open Course Library Project. Topics covered in the course include problem solving, voting theory, graph theory, growth models, finance, data collection and description, and probability.
Students experience data collection, analysis and inquiry in this LEGO® MINDSTORMS® NXT …
Students experience data collection, analysis and inquiry in this LEGO® MINDSTORMS® NXT -based activity. They measure the position of an oscillating platform using a ultrasonic sensor and perform statistical analysis to determine the mean, mode, median, percent difference and percent error for the collected data.
Students learn about the statistical analysis of measurements and error propagation, reviewing …
Students learn about the statistical analysis of measurements and error propagation, reviewing concepts of precision, accuracy and error types. This is done through calculations related to the concept of density. Students work in teams to each measure the dimensions and mass of five identical cubes, compile the measurements into small data sets, calculate statistics including the mean and standard deviation of these measurements, and use the mean values of the measurements to calculate density of the cubes. Then they use this calculated density to determine the mass of a new object made of the same material. This is done by measuring the appropriate dimensions of the new object, calculating its volume, and then calculating its mass using the density value. Next, the mass of the new object is measured by each student group and the standard deviation of the measurements is calculated. Finally, students determine the accuracy of the calculated mass by comparing it to the measured mass, determining whether the difference in the measurements is more or less than the standard deviation.
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