Changeset 586 for trunk/doc

Timestamp:

Jun 19, 2006, 11:56:04 AM (17 years ago)

Author:

Peter

Message:

closes #23 redesign of regression classes

File:

• trunk/doc/Statistics.tex (modified) (4 diffs)

trunk/doc/Statistics.tex

@@ -49 +49 @@
 
 The first group is when some of the measurements are known to be more
-precise than others. The more precise a measuremtns is the larger
+precise than others. The more precise a measurement is, the larger
 weight it is given. The simplest case is when the weight are given
 before the measurements and they can be treated as deterministic. It
@@ -70 +70 @@
 can be treated as independent of the observable.
 
-Since there are various origin for a weight occuring in a statistical
-analysis, there are various way to treat the weights and in general
+Since there are various origins for a weight occuring in a statistical
+analysis, there are various ways to treat the weights and in general
 the analysis should be tailored to treat the weights correctly. We
 have not chosen one situation for our implementations, so see specific
@@ -83 +83 @@
 \end{itemize}
 An important case is when weights are binary (either 1 or 0). Then we
-get same result using the weighted version as using the data with
+get the same result using the weighted version as using the data with
 weight not equal to zero and the non-weighted version. Hence, using
 binary weights and the weighted version missing values can be treated
@@ -182 +182 @@
 the variance is estimated as $\sigma_x^2=\frac{\sum
 w_xw_y(x-m_x)^2}{\sum w_xw_y}$. As in the non-weighted case we define
-the correlation to be the ratio between the covariance and geomtrical
-avergae of the variances
+the correlation to be the ratio between the covariance and geometrical
+average of the variances
 
 $\frac{\sum w_xw_y(x-m_x)(y-m_y)}{\sqrt{\sum w_xw_y(x-m_x)^2\sum