Definition of Research, Statistics Problem Example

What is an F –ratio? Define all technical terms in yours answer.

The F ratio is a value that determines the difference and comparison between different variances that are used to represent particular groups of responses and participants in a specific study or research.

What is error variance and how is it calculated?

Error variance is the corresponding value that identifies the score-effects of uncontrollable elements that are often making a distinct impact on the overall result of a specific study that is being researched upon. Error variance is often looked after for the sake of determining a distinct condition of balance and adjustment for the sake of improving the analysis of the elements that are used in the research.

Between-groups variance Systematic variance + Error variance

F= _________________________ = ______________________________

Why would anyone ever want more than two (2) levels of an independent variable?

It is often more helpful in establishing the validity of particular studies to have more than one independent variable as the existence of these elements do create a practically mandated result that could actually make a distinct impact on how the study would present the reality behind the different options of development that the research aims to give attention to especially when it comes to drawing the practicality of the whole study. Having more than one independent variable makes it easier to create interrelationship between elements used in the research.

If you were doing a study to see if a treatment causes a significant effect, what would it mean if within groups, variance was higher than between groups variance? If between groups variance was higher than within group’s variance? Explain your answer?

When the comparison between variance groups shows a distinct difference of means, the analysis actually provides a presentation of what separation of values actually mean for the different results presented in the study. The comparison between these elements may be identified through the heightened level of difference that each group of variables have against other variables. Higher group variance would suggest that the differences among elements are distinctive but there are some similarities are present. However, when such result takes on a different level, it could mean that the variances have higher sense of similarities than the level of differences that they may have between each other.

What is the purpose of a post-hoc test with analysis of variance?

The use of post-hoc test is to examine the correlation between numerous or multiple variables that are used in a specific study. This test aims to analyze the connection of these elements between each other. These elements allow for the chance of developing a more distinct course of understanding that the studies aiming to research on a particular topic need to be examined for its validity and applicability based on the value of the different variances that are used to determine the real worth of the research. Practically, it is because of this course of value-analysis that studies become more applicable to actual situations that affect the society at present.

True to its sense, having numerous variables to work on make it harder for researchers to become more focused on proving a single claim; nevertheless, it also helps in identifying the course of development that the study aims to imply based on the reality and applicability of each element that makes up the study.

References

Shuttleworth, Martyn (2008). “Definition of Research“. Explorable. Explorable.com. Retrieved 14 August 2011.

Creswell, J. W. (2008). Educational Research: Planning, conducting, and evaluating quantitative and qualitative research (3rd ed.). Upper Saddle River: Pearson.

Trochim, W.M.K, (2006). Research Methods Knowledge Base.

Shields, Patricia and Rangarjan, N. 2013. A Playbook for Research Methods: Integrating Conceptual Frameworks and Project Management. [1]. Stillwater, OK: New Forums Press.

Gauch, Jr., H.G. (2003). Scientific method in practice. Cambridge, UK: Cambridge University Press. 2003