
Why do you charge more for Statistics?
Statistics is far more difficult subject matter to teach than Pure Mathematics. A better than average command of Algebra (including written computation)
is necessary before a student is ready to start understanding the concepts encountered in a statistics class. I come across many students who have somehow
managed to satisfy the prerequisite math classes, as set by the educational institution they attend, necessary to enroll in a statistics class but whose grasp
of Algebra is less than adequate for a student entering a statistics class. This puts both the student and the tutor, me, in a tricky situation. I find myself
teaching the student material that both should have already been learned and is outside the focus of the course material for the class they are enrolled in.
It's necessary to catch them up in areas of Algebra before they are able to do the problems they run into a statistics class. Many times this turns into a struggle
for both the student and the tutor.
Statistics is also far reaching in subject matter. Different books and different instructors emphasize different areas of Statistics. And some books apply
rules used in Statistics differently. Frankly, I often find a student studying an area of Statistics that I'm not practiced with. Fortunately, I am in a
position where I can assimilate the new information quickly and relay it to the student. Also, fortunately, the areas of statistics I am practiced with is the vast majority
of the course material in the classes I tutor.
This is in contrast to a class in Pure Math. I know 99% of what students encounter in Algebra through Calculus like the back of my hand. And that material doesn't change from
book to book or instructor to instructor. It's the same material and the same rules apply. There's very little to no variation in Math from Algebra I through Calculus III  it's all
the same principles applied the same way no matter what book is used or who the instructor is. In the academic world Calculus and below is considered elementary mathematics  it's all
about learning the language of mathematics. When you've finished Calculus you are considered conversant in math.
Here is a list of the big ticket items found in a statistics class that I am practiced with:
Probability
 Sample Spaces
 Probability Functions (discrete and continuous)
 Conditional Probability
 Independance
 Repeated Independant Trials
 Conbinatorics
 Conbinatorial Probability
Random Variables
 Densities and Distributions
 Joint Densities
 Independant Random Variables
 Combining and Transforming Random Variables
 Conditional Densities
 Expected Values
 Properties of Expected Values
 Variance
 Chebyshev's Inequality
Distributions
 Uniform
 Normal
 Student t
 Binomial
 Normal approximation to the Binomial with Continuity Correction
 Poisson
 Exponential
 Chi Squared
 F
Hypothesis Testing
Confidence Intervals
Regression
 Covariance and Correlation
 Simple Linear Regression
 Least Squares Method
Analysis of Variance (ANOVA)
 The F Test
 Computing Formulas for the F Test
 Multiple Comparisons: Tukey's Method
Unfortunately, the above list only barely scratches the iceberg that is Statistics.
Fortunately, the above list goes further into Statistics than what most students will encounter in their study of the subject.
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