Questions tagged [logarithm]
The logarithm of a number is the power to which the base must be raised to get the number.
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Optimal Conditional Distribution for Minimising Information-Theoretic Expression
Consider two countable sets $\mathcal{X}$ and $\mathcal{Y}$. I aim to find the conditional distribution $P_{Y|X}$ that minimizes the following expression for any $x \in \mathcal{X}$
$$\sum_y P_{Y|X}(y|...
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Adapting two-sample $t$-test of a ratio for log transformation
I have some data, belonging to paired groups $A,B$. From each group I get a non-negative statistic $d^A,d^B$ which is averaged on all samples in group. My interest is in the ratio $\frac{d^A}{d^B}$, i....
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Log transformation uses
I am trying to understand how the migration of a male member affects the number of hours spent by left-behind women in various agricultural and non-agricultural activities. I used a simple OLS model ...
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Standard error calculation of intercept in logarithmic line equation?
I have a line equation log(y) = mlog(x) + log(c) for which I have plotted log(x) vs log(y) scatter plot using the given x and y values then performed linear regression to get best fit line. Using ...
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How to construct confidence intervals for difference of means in logs
I have estimated an OLS model and a Negative binomial model of ln housing search (ln S) per unit (for instance, the average number of visitors per house or bidders per house) as a function of ...
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Detrending and data transformation to logarithm can be done together?
I want to get the effect of bitcoin price changes on foreign currency price. The third variable is inflation, which is an explanatory variable.
Should variables be detrended before regressing? Is it ...
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Do you need to exponentiate an inverse hyperbolic sine
I have the following model:
Yi = β1 + εi
whereby Y is the inverse hyperbolic sine of the proportion of i county that is under the poverty threshold and β1 is a binary treatment variable. If I end up ...
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Deriving the Exact Percentage Change Formula in Logarithmic Models
I have been studying the relationship between logarithmic changes and percentage changes in the context of regression analysis. I understand that when working with small changes, the change in the ...
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Conversion of log-transformed SD
In a meta-analysis of some research work, there are many situations in which the literature reported the mean values and their corresponding standard deviations in log-transformed forms.
The question ...
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Deriving log-likelihood contribution involving fixed effects (panel model)
I would appreciate some help with the following problem:
We have the following panel model: $y_{it} = h(x_{it}\beta + c_i) + \epsilon_{it}, \quad t=1,\ldots,T, \quad i=1,\ldots,N $ where
\begin{align*}...
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Why use log per-million count when analyzing corpora?
This might be such a trivial question for you, but please bare with me as I don't have background in statistics. So I am curious about corpus linguistics, and especially in this case how corpora is ...
user404350
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An interesting observation regarding the log transformation of data
I stumbled upon something interesting while attempting to do a log transformation for some data (with zeros) today. It seems that there must be a good reason for this that I'm just not seeing. I'm ...
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Can the Log of PR AUC curve plot be any useful?
I was doing some tests regarding my PR curve for 2 different models (first image), and I got the idea of ploting the log of those curves (second image) to see if there were any insights that I could ...
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Applying Tangent Lines to Log-Scaled Data for Outlier Detection: Seeking Statistical Theories and Models
I've analyzed the view counts for a YouTube channel's videos (just for example), sorting them by views (on the left) and drawing a tangent line to approximate the central trend on a logarithmic scale (...
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Diffrence in logs vs. a % changes in econometrics: why is the dif log approvimation almost always used when the exact quantity is easily available?
I have observed that in econometrics work people almost always use the difference in logs rather than the actual percentage change. This makes no sense to me. I understand that the difference in logs ...
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