Free

Logic of Statistical Significance - Essay Example

Comments (0) Cite this document
Summary
A research finding is said to be statistically significant if its statistics can be relied on. In statistics, a research finding is said to…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER94.6% of users find it useful
Logic of Statistical Significance
Read TextPreview

Extract of sample "Logic of Statistical Significance"

Logic of statistical significance
Date
Logic of statistical significance
The term “significance level” has always been misleading to many researchers as they do not fully understand it (StatPac Inc, 2012). A research finding is said to be statistically significant if its statistics can be relied on. In statistics, a research finding is said to be significant if it has a high probability of being true. Significance levels depict the likelihood of a result being true (Creative Research Systems, 2012).
For example, suppose a survey is undertaken to determine if there exists a difference in preferences with respect to gender in the use of cell phones. Taking a sample of 1000 people, the nominal survey data collected is as shown:
Preferences
Total
Gender
Video
Sound
Neither
male
200
150
50
400
female
250
300
50
600
total
450
450
100
1000
Suppose the null hypothesis is gender and preferences are independent. Then on evaluating the test statistics, getting a value of 16.2 using the degree of freedom of 2. Comparing this t-statistic with the critical value obtained from the chi- distribution table, suppose the significance level of 0.05 is chosen. Then it can be ascertained that the finding is significant as the t-statistic is higher than the critical value. This leads to the rejection of the null hypothesis and also the arrival of a conclusion that there exists a relationship between preferences and gender for that product.
For the case of ordinal data survey, as in the example of a survey comparing the mean weights of male and female students. A statistical hypothesis test is used for making decisions on the data. The test result is calculated from the null hypothesis. The test sample is said to be statistically significant if its occurrence is unlikely to have been by chance alone. The statistically significant result that is given by probability p-value is less than the threshold of a significant level then it justifies the rejection of the null hypothesis. Once the variations have been attained, the Fischer value is calculated and is compared to the f critical value from the table at a given degree of confidence (Carlson, 1976).
Another important concept to consideration is the use of one-tailed or two-tailed significance tests. (StatPac Inc, 2012) The hypothesis determines the selection of each. If the hypothesis gives directions, for example, men generally weigh more than women then the one-tailed significance test is employed. However, if the hypothesis gives no directions as in the example, there is no significant difference in performances between boys and girls, and then the two-tailed significance test is used. The two-test probability is exactly twice the one-test probability therefore; it is actually safe to use it. However, there are cases where the one-test is important.
WORK CITED
Carlson, R. (1976). The Logic of Tests of Significance. Philosophy of Science , 116-128.
Creative Research Systems. (2012). Significance in Statistics & Surveys. Retrieved October 14, 2012, from http://www.surveysystem.com/signif.htm
StatPac Inc. (2012). Statistical Significance. Retrieved October 14, 2012, from StatPac: http://www.statpac.com/surveys/statistical-significance.htm Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Logic of Statistical Significance Essay Example | Topics and Well Written Essays - 500 words”, n.d.)
Logic of Statistical Significance Essay Example | Topics and Well Written Essays - 500 words. Retrieved from https://studentshare.org/statistics/1605302-logic-of-statistical-significance
(Logic of Statistical Significance Essay Example | Topics and Well Written Essays - 500 Words)
Logic of Statistical Significance Essay Example | Topics and Well Written Essays - 500 Words. https://studentshare.org/statistics/1605302-logic-of-statistical-significance.
“Logic of Statistical Significance Essay Example | Topics and Well Written Essays - 500 Words”, n.d. https://studentshare.org/statistics/1605302-logic-of-statistical-significance.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF Logic of Statistical Significance

Statistical Significance of the Parameters

...with manhours such that around 29 rooms create a need of extra 1 manhour. Since the probability (F-test) is less than the benchmark cutoff point of 0.05 which constitutes that overall model is good enough. R-squared value is around 0.96 which means that all the independent variables predict the manhours needed by around 96%. In other words, 96% variation in the manhours needed is explained by these seven variables included in the model. Statistical Significance of the Parameters If the p-values of each parameter are considered, it can be observed that for variables X1, X3, X4 and X5, the p-values are greater than the cutoff significant level of 0.05, therefore, these parameters are not...
12 Pages(3000 words)Statistics Project

Statistical significance, hypothesis testing, Type I and Type II errors

...? Assignment Byline Statistics The Concepts: According to the book “Elementary Statistics,” there are several important concepts that are a part of hypothesis testing. Hypothesis testing is defined as “a decision making process for evaluating claims about a population” (Bluman 2003). Within this particular type of statistical testing, there are two distinct hypotheses known as null and alternative. A null hypothesis is a situation where no differences exist between two parameters. An alternative hypothesis, on the other hand, indicates that there is a significant difference between two particular parameters (Bluman 2003). When completing hypothesis testing there are two...
2 Pages(500 words)Essay

Statistical

...EBS101: Statistical Methods Assignment Sheet 2 For set A, a linear regression line of Y against X2 needs to be plotted. The regression line, alongwith the plotted data-points, is as follows- The linear regression line passes through all points, and the value of the correlation coefficient is 1 (that is, perfect correlation). Thus, it is concluded that there is a perfect linear association between the given data sets. For set B, a linear regression line of Y against X needs to be plotted. The regression line, along with the plotted data-points, is as follows- The linear regression line lies close to most points, and (2.4, 2.6) is an anomaly. The value of the correlation coefficient is 0.96, which represents a fairly strong positive... the...
4 Pages(1000 words)Essay

Logic

...Logic: Religious Extremism “Many Africans are concerned about religious extremism, including within their own faith. Indeed, many Muslims say they are more concerned about Muslim extremism than about Christian extremism, and Christians in four countries say they are more concerned about Christian extremism than about Muslim extremism.” (The Pew Forum on Religion & Public Life, POLL April 15, 2010, a Project of the Pew Research Centre) The Project The survey on religious beliefs and its effect on social and political order, undertaken in the Sub-Saharan Africa has been supported by grants from The Pew Charitable Trusts and the John Templeton Foundation as part of the Pew-Templeton Global Religious Futures Project, which...
5 Pages(1250 words)Assignment

Binary Logic

...Binary Logic Binary logic, also known as Boolean or any two-valued logic, is based on the notion that something makesan X or its complement, presumably a not-X. Being a logic utilized when evaluating between a true or false in a test, binary logic pertains to variables which take on two discrete values, either a “1” or “0”. Logic employed on computers are binary by nature as well. One may find it convenient to interpret the two discrete values as two different integers, or analogously, as the two truth values namely “true” or “false”. This concept has been widely used in the field of social sciences and engineering especially on the...
1 Pages(250 words)Essay

Logic

...Topic Is anthropogenic climate change (what used to be known as "global warming a problem that needs immediate and/or long term attention Introduction Anthropogenic climate change or global warming happens due to the greenhouse gas emitted from earth due to the activity of the human beings. Scientist by observing the polar ice melt has reached to a conclusion that green house gas emitted by earth is increasing from past few hundred years. Many studies reveal that the potent green house gas has increased after the post industrial period. The potent green house gas consisted of carbon did – oxide, nitrous oxide and methane. The significant increase in greenhouse is studies and results shows that this phenomenon is solely...
7 Pages(1750 words)Research Paper

Question 30 of 30 Explain in your own words the logic of statistical significance

...Answer Statistical significance is a term that is commonly employed in the probability statistics. The logic of statistical significance can best be explained with the help of an example. Let’s suppose a student tells the teacher that he could not submit the homework because it was eaten by a cat. The teacher refuses to accept this excuse because it is too unlikely to happen. Let’s suppose that the teacher surveys a million children, and out of them, only two say that the event happened. While this could happen, it actually happened with no more than two children in a million. This means that even if it does, it happens very infrequently,...
1 Pages(250 words)Essay

Logic Questions

...Closing Questions The philosopher from northern Greece is a well-known homosexual. Therefore, his claim that the universe is ultimately made up ofatoms should be ignored. This is a deductive argument. This argument is invalid and unsound because the reason given for why it should be correct is not logical, factual, or capable of being proven. It also does not provide a probable outcome that can be tested. The philosopher’s sexual preference has nothing to do with his perceptions of the universe. The information being given is more of an unfounded accusation being presented as a stated fact. 2. Every event in the world is caused by other events. Human actions and decisions are events in the world. Therefore, every human...
4 Pages(1000 words)Assignment

Applied Logic

...Applied logic: free will Free will is the aptitude of individuals to make rational decisions without being constrained by certain prevailing factors such as physical constraints, social constraints, metaphysical constraints and mental constraints. Therefore, free will suggests that the individual’s ‘will’ and ‘choices’ exist even in absences of man moral obligation. Subsequently, applied logic helps individuals to use their practical art of valid reasoning that is essential in guiding them to draw the conclusion in a specific situation (Lynch pg. 126). In that sense, we can say an individual who uses applied logic can achieve free will in their life. This is because the individual who...
2 Pages(500 words)Assignment

Logic

...Logic CATEGORICAL PROPOSITIONS Temporary workers are not eligible for fringe benefits. Translation: No temporary workers qualify for fringe benefits. Letter designation: B Quantity: Universal Quality: Negative Distribution of terms: Subject and predicate are both distributed. 2) Not all guilt feelings are psychological aberrations. Translation: Some guilty feelings are psychological aberrations. Letter designation: B Quantity: Non-universal Quality: Negative. Distribution of terms: Subject is not distributed, predicate is distributed. 3) Some television shows that depict violence incite violence. Translation: Not all television shows that depict violence incite violence. Letter designation: A Quantity: Universal Quality:...
2 Pages(500 words)Assignment
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Essay on topic Logic of Statistical Significance for FREE!

Contact Us