20 problems, Applied Statistics

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Normal probability plots, The Null Hypothesis - H0:  The random errors will...

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

Mean absolute deviation, Mean Absolute Deviation To avoid the problem o...

Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by

Corelation regrassion, the two regrassion line will pass through the point ...

the two regrassion line will pass through the point (x,y)

Transformation of data, PCA is a linear transformation that transforms the ...

PCA is a linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data comes to lie on the first coordinat

Keno, Having 11 numbered balls -0 to 10 -into a basket and have 6 spaces t...

Having 11 numbered balls -0 to 10 -into a basket and have 6 spaces to be numbered with the balls selected in each 6 chances and it returned it back to the basket each time. Chanc

Determine best estimates of the population mean and variance, Question: ...

Question: (a) A normal distribution is thought to have a mean of 50. A random sample of 100 gave a mean of 52.6 and a standard deviation of 14.5. A significance test was carri

Assumptions in anova, Assumptions in ANOVA The various populations f...

Assumptions in ANOVA The various populations from which the samples are drawn should be normal and have the same variance. The requirement of normality can be discarded if t

Cluster analysis, Cluster Analysis could be also represented more formally ...

Cluster Analysis could be also represented more formally as optimization procedure, which tries to minimize the Residual Sum of Squares objective function: where μ(ωk) - is a centr

Types of sampling, Given a certain population there are various ways in whi...

Given a certain population there are various ways in which a sample may be drawn from it. The chart below illustrates this point: Figure 1 In  Judgem

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