# Statistical Data Analysis

Freelance learnerLearning statistics. Doing statistics. Or, at the least, training statistics. Humility towards stat was one of my first learnings. Hi, my name is Carsten. I’m Dane living in Spain with my wife and two children. I have been 20 years in sales, marketing, writings and startups and now skilling me up in mathematical statistics and statistical programming. Can I join you on my further learning path?

Impact?

What impact do right decisions have? Let data support your decisions.

Decision A

%

### Client satisfaction

### Revenue

Decision B

%

### Client satisfaction

### Revenue

#### Predictions

Regression Analysis. Inference about Regression. Multiple Regression. Non-Parametric Statistics. Time Series…

#### Tests & Estimations

Statistical Significance Tests. Confidence Intervals. Goodness of Fit. Sampling Design. Sampling. ANOVA…

#### Mentoring

Ph.D. Dissertations. Homework. Exam Prep. Students’ Projects. Online Teaching. Statistics in Excel…

#### Projects & Languages

PRINCE2 Certified. Statistical Environment in Excel. Spanish. German. English. Swedish. Norwegian. Danish.

#### Quality Control

#### Dynamic Documents

#### Visualizations

#### Statistical Testing

#### AB Split Test

#### Predictive Analysis

#### Excel Setup for Statistics

#### Excel Automation (VBA)

#### Google Analytics

What they say

These references point to my ‘earlier’ career before starting with statistical data analysis: 20 yrs within sales, marketing, writings and startups.

I headhuntet Carsten.

With his analytical skills he optimized our logistics and increased productivity throughout our organization.

Carsten is a top professional knowing the art of converting highly complex concepts into simple solutions. He boosted our sales and developed our network of sales agents.

As designer in Zapin, I worked very closely with Carsten who acted as interface between our clients and designers. Carsten worked out procedures for different processes. He dominated the demand specifications and was a strong communicator balancing client quality expectations with scopes of productions. A great professional and a good colleague.

Based on his sharp analytical skills, Carsten developed and implemented working procedures and systems. He built up the sales department from scratch. He achieved to streamline the company and the working procedures across the organization. As interface between our clients and our technical department Carsten …. ensuring our clients’ absolute satisfaction.

My notes on statistics

Here’s a directory of my notes on statistics. This is how I’m learning. Can they be useful for you too? Are you a learner, a teacher or a data professional? Each page has a comment module. **Thanks for your comments! **Soon, I will be uploading +100 exercises and real life cases with step-by-step solutions.

### Probability

- Sample space, events and probabilities
- Complement of an event
- Independent events
- Dependent events
- Mutually exclusive events
- Mutually inclusive events
- Permutations
- Combinations
- Conditional probability
- Law of total probability
- Bayes' Theorem

### Summarizing quantitative data

- Mean, median and mode
- Interquartile range (IQR)
- Variance and standard deviation of a population
- Variance and standard deviation of a sample

### Discrete probability distribution

- Discrete vs. continuous random variables
- Discrete probability distributions
- Mean, variance and standard deviation
- Mean of sum & difference
- The binomial distribution
- Poisson distribution
- The geometric distribution
- Hypergeometric distribution

### Modelling data distributions

- Continuous vs. discrete data
- Density curves
- Significance level
- Critical value
- Z-score
- The p-value
- The Central Limit Theorem
- Skewness and kurtosis

### Normal Distribution

### Study design

### Confidence intervals

### Hypothesis testing

- Hypothesis testing
- One-tailed tests
- Two-tailed tests
- Proportion hypothesis testing
- Hypothesis test for a mean
- Statistical power
- Power of test calculation
- Chi-square Goodness of Fit Test

### Simple linear regression, fundamentals

- Scatter plots
- Correlation coefficient
- Regression line
- Squared errors of line
- Coefficient of determination, r2

### Simple linear regression, inference

- Inference about regression
- The LINER model
- Residual plots
- Standard error of the slope
- Confidence interval for the slope
- Hypothesis test for the slope
- Mean and single response intervals
- Influential points
- Precautions in simple linear regression
- Transformation of data

### Two-sample inference

### ANOVA & F-distribution

My notes on R programming

Here’s a directory of my notes on R programming.

### Starting with R

- Importing from Excel to R
- Variables at a glance
- Subsetting with square brackets
- Logic statements & cbind() function
- apply() function
- tapply() function

### Probability distributions in R

- Student’s t-distribution in R
- The binomial distribution in R
- The normal distribution in R
- The Poisson distribution in R

### Bivariate analysis in R

- One-sample t-test in R
- Two-sample t-test in R
- Mann Whitney U aka Wilcoxon Rank-Sum test
- Bootstrap hypothesis testing in R
- Bootstrap confidence interval in R
- Permutation hypothesis test in R
- Paired t-test in R
- Wilcoxon signed rank test in R
- ANOVA, multiple comp. & Kurskal Wallis in R
- Chi-square test, Fishers Exact Test & cross tab in R
- Calculate odd’s ratio & relative risk in R
- Correlation and covariance in R

### Linear regression in R

- Simple linear regression in R
- Multiple linear regression in R
- Changing numeric variables to categorical
- Creating dummy variables
- Change reference category
- Including variables in regression
- Multiple linear regression with interaction
- Interpreting interaction in linear regression
- Partial F-test variable selection
- Polynomial regression in R

### Logistic regression in R

- The origins of logistic regression
- Odd’s ration
- Likelihood profiling
- Measure of Goodness
- Prediction
- Checking the model

### Survival analysis in R

- Survival objects
- Kaplan-Meier estimates
- The log-rank test
- The Cox proportional hazards model

### Poisson regression in R

- Survival analysis with constant hazard
- Fitting Poisson models
- Computing rates
- Models with piecewise constant intensities

### Nonlinear curve fitting in R

- Finding starting values
- Self-starting models
- Finer control of the fitting algorithm

+34 616 71 29 85

Call me

Spain: Ctra. 404, km 2, 29100 Coín, Malaga

...........

Denmark: c/o Musvitvej 4, 3660 Stenløse

**Drop me a line**

*What are you working on just now? Can I help you, and can you help me? *

**About me**

Learning statistics. Doing statistics. Freelance since 2005. Dane. Living in Spain. With my Spanish wife and two children.

**Connect with me**

**What they say**

20 years in sales, analysis, journalism and startups. See what my customers and partners say about me.