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Statistics
... • Standard Deviation: the variance of scores around the mean. Shaq and Kobe may both score 30 ppg (same mean). • The higher the variance or SD, the But their SDs are very different. more spread out the distribution is. • Do scientists want a big or small SD? ...
... • Standard Deviation: the variance of scores around the mean. Shaq and Kobe may both score 30 ppg (same mean). • The higher the variance or SD, the But their SDs are very different. more spread out the distribution is. • Do scientists want a big or small SD? ...
Math 227, Statistics Fall 2008 Section 0282 Mc Gann
... 5) Use graphs to determine the shape of parent distributions and estimate the central measures of populations. 6) Calculate confidence intervals, calculate sample size for means and sample proportions. 7) Define and test hypotheses for the mean and proportion, apply the z- and t-tests in hypotheses ...
... 5) Use graphs to determine the shape of parent distributions and estimate the central measures of populations. 6) Calculate confidence intervals, calculate sample size for means and sample proportions. 7) Define and test hypotheses for the mean and proportion, apply the z- and t-tests in hypotheses ...
1.2 Interpretations 1.3 Distributions
... this is non-standard notation and won’t be used in these notes. (4) If A and B are sets, A ∪ B is the union of A and B. It is the set of elements which are either in A or B. As a set A ∪ B = {x | x ∈ A or x ∈ B}. (5) If A ⊂ B then Ac is the complement to A (in B). It is the set of elements of B whic ...
... this is non-standard notation and won’t be used in these notes. (4) If A and B are sets, A ∪ B is the union of A and B. It is the set of elements which are either in A or B. As a set A ∪ B = {x | x ∈ A or x ∈ B}. (5) If A ⊂ B then Ac is the complement to A (in B). It is the set of elements of B whic ...
STAT 315: LECTURE 4 CHAPTER 4: CONTINUOUS RANDOM
... • If X is a continuous rv with pdf f (x) and cdf F (x), then at every x for which the derivative F ′ (x) exists, F ′ (x) = f (x). • If X is a continuous rv with pdf f (x), then the expectation of X is ...
... • If X is a continuous rv with pdf f (x) and cdf F (x), then at every x for which the derivative F ′ (x) exists, F ′ (x) = f (x). • If X is a continuous rv with pdf f (x), then the expectation of X is ...
9 Statistics in R
... • We showed earlier using qqplot() that the normality assumption is violated, particularly an issue since the sample sizes here were small • The two-sample Wilcoxon (Mann-Whitney) test is a useful alternative when the assumptions of the t-test ...
... • We showed earlier using qqplot() that the normality assumption is violated, particularly an issue since the sample sizes here were small • The two-sample Wilcoxon (Mann-Whitney) test is a useful alternative when the assumptions of the t-test ...
Handout on Empirical Distribution Function
... Handout on Empirical Distribution Function and Descriptive Statistics The purpose of this handout is to show you how all of the common (univariate) descriptive statistics are computed and interpreted in terms of the so-called empirical distribution function. Suppose that we have a (univariate) datas ...
... Handout on Empirical Distribution Function and Descriptive Statistics The purpose of this handout is to show you how all of the common (univariate) descriptive statistics are computed and interpreted in terms of the so-called empirical distribution function. Suppose that we have a (univariate) datas ...
Remembered?
... • If we were looking at the relationship between gender and income, gender would be the column variable and income would be the row variable. Logically gender can determine income. Income does not determine your gender. • If we were looking at the relationship between ethnicity and location of a per ...
... • If we were looking at the relationship between gender and income, gender would be the column variable and income would be the row variable. Logically gender can determine income. Income does not determine your gender. • If we were looking at the relationship between ethnicity and location of a per ...
ST 3951 - Loyola College
... necessary and sufficient condition for P [Y = a + bx] = 1 to hold. 14. Derive the MGF of gamma distribution and obtain its mean and variance. 15. Let f (x, y) = 2 0 < x < y < 1 the pdf of X and Y. Obtain E [X Y] and E [Y X]. Also obtain the correlation coefficient between X and Y. 16. Show that ...
... necessary and sufficient condition for P [Y = a + bx] = 1 to hold. 14. Derive the MGF of gamma distribution and obtain its mean and variance. 15. Let f (x, y) = 2 0 < x < y < 1 the pdf of X and Y. Obtain E [X Y] and E [Y X]. Also obtain the correlation coefficient between X and Y. 16. Show that ...
Concepts in probability, Statistics and Stochastic Modeling
... • “Back into” the estimate by assuming the parameters we are trying to estimate from the data are known. • How likely are the sample values we have, given a certain set of parameter values? • We can express this as the joint density of the random sample given the parameter value. f X 1 , X 2 ,..., X ...
... • “Back into” the estimate by assuming the parameters we are trying to estimate from the data are known. • How likely are the sample values we have, given a certain set of parameter values? • We can express this as the joint density of the random sample given the parameter value. f X 1 , X 2 ,..., X ...
Communicating Quantitative Information
... • Big standard deviation says that the data is spread out • Small standard deviation says that most of the data is close to the mean – preferred situation with manufacturing: 6 ...
... • Big standard deviation says that the data is spread out • Small standard deviation says that most of the data is close to the mean – preferred situation with manufacturing: 6 ...
abstract
... in the case of very simple sequences, such as an = n 2 or an = n1/3 where the gap distribution is conjectured to be exponential. I will survey a number of sequences where the gap distribution (and related statistics) can be computed by translating the problem to rather subtle equidistribution proble ...
... in the case of very simple sequences, such as an = n 2 or an = n1/3 where the gap distribution is conjectured to be exponential. I will survey a number of sequences where the gap distribution (and related statistics) can be computed by translating the problem to rather subtle equidistribution proble ...
Random variable distributions
... and epistemic uncertainty in your estimate. Find how many samples of normally distributed numbers you need in order to estimate the mean with an error that will be less than 5% of the true standard deviation 90% of the time. Use the fact that the mean of a sample of a normal variable has the same me ...
... and epistemic uncertainty in your estimate. Find how many samples of normally distributed numbers you need in order to estimate the mean with an error that will be less than 5% of the true standard deviation 90% of the time. Use the fact that the mean of a sample of a normal variable has the same me ...
AP Statistics Chapter 10 Test: Estimating with
... school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 45% of the population favor this idea.. a) What are the mean and standard ...
... school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 45% of the population favor this idea.. a) What are the mean and standard ...
ph24010 lecture2
... Numbers generated in sequence Same sequence every time worksheet run SEED variable sets start point in sequence Integer from 1 to 2147483647 Change seed with – Tools|Worksheet Options|Built-in variables – Seed(x) ...
... Numbers generated in sequence Same sequence every time worksheet run SEED variable sets start point in sequence Integer from 1 to 2147483647 Change seed with – Tools|Worksheet Options|Built-in variables – Seed(x) ...
Multimodal distribution
![](https://commons.wikimedia.org/wiki/Special:FilePath/Bimodal.png?width=300)
In statistics, a bimodal distribution is a continuous probability distribution with two different modes. These appear as distinct peaks (local maxima) in the probability density function, as shown in Figure 1.More generally, a multimodal distribution is a continuous probability distribution with two or more modes, as illustrated in Figure 3.