MATH1280 Statistics 1 Learning journal UNIT7
Grades 10/0-10
1. Learning Journal Reflective Comments:
Write short reflective comments or notes about your learning activities during the week. It is highly recommended that you make these entries on a daily basis. You will be assessed on the completeness of your Learning Journal, and the quality of your self-reflection.
You should date each entry, and use clear titles and sub-headings. These entries should be brief, direct sentences indicating quick comments or notes such as:
* when you completed each step in the Learning Guide during the week,
* any problems or unexpected events that occurred during the week (including problems understanding new or old material), and
* any other noteworthy that might affect your performance in this class.
There is no need to include personal information or details of family events, but be sure to mention the existence of any situations that will positively or negatively affect your ability to focus on the classwork.
2. Vocabulary and R functions
a) What is a sampling distribution (include an APA citation)? _________
b) What is the Law of Large Numbers?________
3) Describe in your own words (do not directly quote any source) the difference between the distribution of a sample and the sampling distribution. Use an example in which the original population has a binomial distribution. You will probably use concepts from the book or another source, so be sure to cite any concepts that come from such sources (even if you paraphrase).
----------------------------------------------------------------------------------------------------------------------------------------------------------------
1. Learning Journal Reflective Comments:
7/30 Reading learning guide
7/31 Reading the textbook and understanding the keywords
8/1 Using R programs
8/2 Rereading the textbook and using R programs
8/3 Applying discussion post
8/4 Applying learning journal
2. Vocabulary and R functions
a) What is a sampling distribution (include an APA citation)?
A sampling Distribution identifies "the probability of each value of the sample average, thus obtaining the sampling distribution of the sample average," and it is the probability distribution of a statistic which is a function of the sample obtained through a large number of samples drawn from a particular population (Yakir, 2011, p.106).
b) What is the Law of Large Numbers?
The Law of Large Numbers is "a mathematical theorem that describes the sampling distribution of the average for large samples," and "as the sample size becomes larger, the sampling distribution of the sample average becomes more and more concentrated about the expectation" (Yakir, 2011, p. 115).
3) Describe in your own words (do not directly quote any source) the difference between the distribution of a sample and the sampling distribution. Use an example in which the original population has a binomial distribution. You will probably use concepts from the book or another source, so be sure to cite any concepts that come from such sources (even if you paraphrase).
The distribution (of a sample) refers to the length from the average or expectation of data, and it is obtained by taking a sample and computing the distribution between its values.
On the other hand, the sampling distribution is for creating the desired distribution by specifying the distribution characteristics when the distribution's features are known from the sample.
An example used in textbooks to illustrate the difference between distributions of a sample and the sample distributions is tossing up a coin (Yakir, 2011). For example, when we toss a coin 400 times and take 200 samples, the distribution of a sample will be the distribution of the values for that particular 200 samples. On the other hand, if we toss a coin 400 times and only randomly take 200 as samples, we can calculate the probability of being picked as a sample. The variation between these possibilities is the sampling distribution.
Reference
Yakir. B, (2011). Introduction to Statistical Thinking (With R, Without Calculus). Retrieved from https://my.uopeople.edu/pluginfile.php/1097279/mod_book/chapter/267923/MATH1280RInstall Notes. pdf
댓글