8210 wk3 assignment
Introduction to Quantitative Analysis: Descriptive Analysis
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Introduction
Descriptive statistics are used in a research project to describe the data's basic characteristics. Descriptive statistics give the reader a clear picture of the data and what it reveals about our study. This is the foundation for the majority of quantitative evaluations of data, which are displayed along with graphics. The sample size in a study might be small or big, depending on the methodology used. In order to make meaningful comparisons between people or other units, researchers can utilize descriptive statistics to simplify enormous volumes of data and present it in a clear and concise manner. As stated by Frankfort-Nachmias et al. (2018).
Categorial Variable
Week 2's categorical variable was originally going to be the parent's highest educational level. Categorical variables lack an inherent ordering and have two or more categories (Frankfort-Nachmias & Leon-Guerrero, 2018). As the initial stage in performing statistical analysis, a contingency table helps illustrate the data obtained in a sample by visualizing the probabilities of observations (Wagner, 2020). Mothers with a high school degree or a GED have the highest frequency of reporting, as seen in figure 1, with 6795 of the 16,784 valid replies in this category.
Figure 1. Categorial Variable Highest Level of Education.
Continuous Data
I originally chose the number of hours a student uses on their math homework each week as the continuous variable during the week 2 assignment. According to figure 2, respondents' math self-efficacy variable has a mean of.0421, a median of.1000, and an overall mode of.10. According to these definitions, a distribution's mean is its average, its median is its midpoint, and its mode is its biggest percentage or frequency (Frankfort-Nachmias and Leon-Guerrero, 2018). Learner mathematics self-efficacy was shown to be adversely skewed at the point of -3.77%. The skewness of this data is quite modest, but a higher skewness of the data can lead to inaccurate results (Frankfort-Nachmias and Leon-Guerrero, 2018). The standard deviation can be used to demonstrate how far a variable deviate from the mean, whether it is an interval or ratio variable. There is a 0.995 standard deviation in the mathematical self-efficacy of the responder. In other words, the amount of the data in the dataset falls within 0.995 less than the mean; or the data and information are closely concentrated around the mean. The standard deviation, when used in conjunction with both the mean, summaries continuous data and reveals that the vast proportion of respondents falls within the range of 0.04 and 0.99, on average (Frankfort-Nachmias and Leon-Guerrero, 2018).
Figure 2. Continuous Variable Scale of Student's Mathematics Self-Efficacy.
Conclusion
A student's self-efficacy is a reflection of the student's self-esteem. How confident we are in our abilities to excel at something, such as arithmetic, is called self-efficacy. Believing in our abilities to succeed can have a profound effect on our psychological well-being and motivation. We believe in our potential to succeed and succeed if we have a high level of self-efficacy. This can have a good impact on our thinking, our behavior, and our ability to make a difference in the world. In order to understand the world around us, math is essential since it is one of the most extensively utilized subjects in the world and develops a wide range of skills, including the ability to analyze data.
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References
Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: Sage Publications.
Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.