Journal of Unified Statistical Techniques Inaugural Issue: 2013 A semester-long project to engage students in elementary statistics Jennifer Bready Mount Saint Mary College jen.bready@msmc.edu The Project Abstract: In this article the author will discuss a project used in her elementary statistics class. This project begins on the first day of class and culminates at the end of the semester in a statistical research paper. Students are involved in every step of the process, from choosing a topic and title, writing questions, collecting data, and analyzing results. Choosing the Topic On the first day of class students are shown current articles in the media which include statistics. The goal is to show students that statistics occurs every day, and is relevant to the students no matter what their major is. At the end of the first class, students are given the task to try and think of a topic that they could survey during the semester. They are shown past surveys to help them see what the final project will look like, and are instructed to think about two topics that are broad enough to ask 60-70 relevant questions, and write a short paragraph explaining more specifically what they would like to research with their topic. After topics are collected the most viable ones are shown to the students, who then vote democratically. Recent topics ranged from ideas such as tattoos and body art (Titled: Body Art: Not so smart?), addictions (I Never Predicted I’d Become Addicted), nutrition (More Stress, More Calories), and even cheating (Choose to Cheat, Lose your Seat). Keywords: statistics, projects, data analysis Introduction In teaching statistics, it is not enough for students to be able to recite formulas and plug in numbers; it is imperative that students understand the concepts. One of the best ways for students to show their understanding of concepts is through writing. The understanding of these statistical concepts, which are often applied across many fields, must be communicated in a way so that everyone can understand, even people who may not understand statistics (Radke-Sharpe, 1991). Additionally, for people to write statistically they must have a topic meaningful to the writer. It is difficult to analyze and write about a data set; it is near impossible when the data is of no relevance to the writer. This project incorporates student input from start to finish. Additionally, students taking this statistics course are not mathematics majors and do not, at least in the beginning of the course, see the relevance of statistics to them. By having students actively involved in every stage of the project, student interest and participation is increased in learning about statistics and in writing the final paper. Survey Design and Data Collection After a topic is chosen each student is given the second part of the project, which is to do some research about their topic and write questions. Students need to realize that part of any research study is to review what other researchers have discovered about the topic. For this second component of writing questions, students are instructed to each write three questions: one qualitative question, one quantitative question, and one question of their choice, but they must define if it is quantitative or qualitative. They 5 Journal of Unified Statistical Techniques are also instructed that qualitative questions should have answer choices. After questions are submitted, it is the job of the instructor to sort through their questions to place them into a survey. Students are also requested to submit title ideas, and the instructor will choose the most appropriate and creative title for the survey. In the past the surveys have been printed in a small booklet for students to distribute and collect their data. This semester the students will not only be given the booklet, but the survey will also be placed online using Survey Monkey. After students receive the final survey it is their responsibility to collect the data. Students are instructed to collect between 5-10 surveys depending on the number of students enrolled in the course. The students then define all of the variables in SPSS, enter their data, and submit their data to the instructor. The goal is to have between 300-500 surveys for students to analyze. Data Analysis To write their final paper, students are given very specific requirements explaining the particulars and a rubric so they know how they are being assessed. To begin, they need to write an introduction discussing the purpose of the study, define the population, describe the procedure to extract a sample, and whether they believe it was a random sample. They then need to discuss the demographics of their sample, and sources or potential sources of bias. Lastly, they need to assess the degree to which the results could be generalized to the population. The next part of the paper is the data-analysis portion and is rather open-ended. Students need to select at least five variables to discuss, which cannot include variables from the demographics. At least two of these variables must be scale measurement. For each variable they must report appropriate measures of central tendency and variation and interpret these results in the context of the survey. They need to create two contingency tables and analyze the results, and also report and interpret one significant correlation. Lastly, to enhance their results they need to include and explain two graphs, which can be anywhere in the paper. For example, a pie graph could be used to show that the distribution of a par- 6 Jennifer Bready ticular attribute could show bias in the sample, or they could include a bar graph when analyzing one of their five variables. Graphs must be appropriately titled and labeled. Students are free to chose any variables that they wish to analyze, which gives diversity to the papers being submitted. Lastly, students must write a conclusion summarizing their results, and suggestions for further study or any recommendations they might have. It is important for students to realize that this was their first attempt at writing questions, building a survey, and collecting data, and they should think about ways they could improve this study. Papers must be typed and have graphs and tables incorporated within the text, and of course must be spell-checked and proof-read Assessment The entire project is worth 30% of a student’s overall course grade, and this is used in lieu of a final exam. The project though is further broken down into components. Creating topics ideas is 5%, writing the questions is 10%, and data collection is 25%. The remainder of the grade is for the writing component of the project. In the past the entire 60% was for the final paper, but students were overwhelmed with trying to evaluate a large data set, so this was also broken into stages: 10% for the rough draft of the introduction, 5% for analyzing two variables and one graph, and 5% for analyzing one contingency table. Students are given feedback on each of these parts and then instructed to write the final paper, which is the remaining 40% of the grade. benefits and drawbacks Having students involved every step of the way has a number of benefits. To begin, students develop an understanding of what is involved in completing a statistical study. They have learned how to write questions, define variables, collect and enter data into a statistical program, and actually analyze data. More importantly, students need to show how to apply appropriate statistics. Whereas a final exam might instruct students to compute and interpret a correlation, or find the percents and analyze a contingency table, students are now faced with the task Inaugural Issue: 2013 of analyzing many different variables, and must recognize when it is appropriate to use each statistical analysis. They need to understand how to best analyze a nominal variable compared to a ratio-leveled variable. They must also realize that they should be using scale variables to compute a correlation, and nominal or ordinal variables in a contingency table. Furthermore, they must be able to connect their analysis in a fluid, written document. Students are also given the option of being creative in their paper. For example, students can write their paper in the format of a newspaper or journal article, or any other creative outlet as long as they include the appropriate statistics. For students who fear mathematics, allowing this creativity in their presentation motivates students more in their writing. Students have written projects in the form of a script for a television show, a magazine, minutes of a meeting, and even as an advice columnist! There are however some drawbacks. While writing is important in statistics, it unfortunately does increase the work load (Stromberyg & Ramanathan, 1996). There is a significant time factor for the faculty as well as the student when completing this project. One way the instructor has tried to decrease the added work load is to allow the students the option to work with a partner. Students share a grade only on the final paper portion. Additionally, a student created survey will have flaws, including issues with the gathering of the data. However, this is all part of the learning process, which is why students are asked to reflect at the end of their paper what could be done differently if this study were to be completed again. work, they found the process beneficial, and felt that they learned more than they would have compared to studying for a traditional final exam. Many students love the creative option of the paper, putting in considerably more effort than they would have for a standard statistics paper. Furthermore, students have a vested interest in learning about questions that they themselves asked, and are challenged to apply their statistical knowledge acquired throughout the semester. References [1] [2] Radke-Sharpe, M. (1991). Writing as a component of statistics education. The American Statistician, 45, 292-293. Strombery, A. & Ramanathan, S. (1996). Easy impomentation of writing in introductory statistics courses. The American Statistician, 50, 159-163. Conclusion This project involves students from the first day of class to the last. The topic, questions, and data are all student generated. Students have the opportunity to evaluate a large data set with 60-70 different variables and typically a minimum of 300 respondents. Having student participation in a statistical research project from the onset increases student motivation and learning. Course evaluations showed that even though the students felt the project was a lot of A semester-long project to engage students in elementary studies 7