# Estimation in Linear Models

• Wolfgang Karl Härdle
• Weining Wang
Chapter
Part of the Springer Texts in Statistics book series (STS)

### Exercise 4.1.

A company decides to compare the effect of three marketing strategies
1. 1.

2. 2.

Presence of sales assistant,

3. 3.

Special presentation in shop windows,

on the sales of their portfolio in 30 shops. The 30 shops were divided into 3 groups of 10 shops. The sales using the strategies 1, 2, and 3 were y1= (9,11,10,12,7,11,12,10,11,13), y2= (10,15,11,15,15,13,7,15,13,10), and y3= (18,14,17,9,14,17,16,14,17,15), respectively. Define xias the index of the shop, i.e., xi= i,i = 1,2,…,30. Using this notation, the null hypothesis corresponds to a constant regression line, $$\mathbb{E}Y =\mu$$

## Keywords

Null Hypothesis Marketing Strategy Induction Step Spectral Norm Adaptivity Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## References

1. Csiszár, I., & Tusnády, G. (1984). Information geometry and alternating minimization procedures. Statistics & Decisions, Supplement Issue, 1, 205–237.Google Scholar
2. Härdle, W., & Simar, L. (2011). Applied multivariate statistical analysis (3rd ed.). Berlin: Springer.Google Scholar
3. Spokoiny, V., & Dickhaus, T. (2014). Basics of modern parametric statistics. Berlin: Springer.Google Scholar

## Authors and Affiliations

• Wolfgang Karl Härdle
• 1