# Questions tagged [percentage]

Number or ratio expressed as a portion of 100

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1answer
18 views

### Two formulas giving slightly different output

I am struggling to find a proper explanation why the two methods that I use for finding the difference in EXCEL are giving me two slightly different numbers. The idea behind the task is that we have ...
1answer
18 views

### R survey sackage method for replicating SUDAAN proc crosstabs SEROW [closed]

I have been using SUDAAN's proc crosstabs to generated weighted crosstabs, percentages, and standard errors for counts and percentages. I'm trying to replicate this functionality in R and have gotten ...
0answers
18 views

### weighing percentage changes by number of samples

Applying one simple formula for percentage change. This: 100 * (8 - 2) / 2 = 300% gives the same results as this: ...
1answer
30 views

### Calculating per cent improvement in test error

I’ve come across this statement regarding an improvement percentage and I don’t know if it’s okay. It says this: The training error and test error using the neighborhood model are 0.34 and 0.54 ...
1answer
23 views

### Using glmrob function in R with proportional/percentage dependent variable

I have performed a glmrob to infer whether belonging to one of the treatment groups causes a higher % in success. I have used the following code: ...
0answers
6 views

### How to determine the percentage difference between two quantities associated with uncertainty measure

Say I have two quantities 10 ± 2 and 12 ± 3 (uncertainty is standard error). How do I determine the percentage difference between them? Or should I determine it at all (There is no meaning to do it in ...
1answer
13 views

### Is there a signed (ie anti-symmetric) version of SMAPE?

The symmetric mean absolute percent error (SMAPE) is a symmetrized version of percent error with the formula: $$\frac{200\%}{n}\sum_i\frac{|x_i - y_i|}{|x_i| + |y_i|}$$ SMAPE is symmetric: ...
1answer
68 views

### which regression to use when response variable is in percentage [duplicate]

Hello I am working on a regression problem with a data set where my predictor variables are in the multiples of 10,000 however my response variable is in percentages. I tried to fit a linear ...
0answers
16 views

### Proper analysis procedure of paired rate comparisons - ratio or difference?

I have a set of population counts where each row represents a different region, and variables show overall counts and counts/percentages within specific groups/criteria. I am interested in the cross-...
0answers
34 views

### Two way ANOVA with percent change

I have two groups of animals: "active cycle" and "inactive cycle". Within each group, there are two groups: "control" and "treated". I measured the levels of a specific receptor for each animal in ...
1answer
37 views

### Comparing percentages with unequal sample sizes

I've spent some time collecting participation data on a schools competition. To sum it up: Roughly speaking 1000 schools take part in the initiative every year. Only 10 schools become finalists. ...
0answers
30 views

### How to interpret coefficient when the dependent variable is a percentage change?

I am having some trouble interpreting my regression output. My model is LN of transaction volume = alpha + $\beta_1$_RER + control variables RER is defined as the change in the average exchange rate ...
1answer
34 views

### How do I calculate relative proportion of a fraction with respect to total value?

I have several curves in one graph (see fig.). There are 5 discernible segments within each curve that are individual slopes. Within each "x-coordinate segment" there are five samples with their ...
0answers
9 views

### Appropriate analysis for univariate proportion data and environmental variables

I'm new to statistics so am trying to choose the best analysis to find if; There is a difference between canopy cover (0-100%) at different sites There is a relationship between canopy cover and ...
0answers
9 views

### percent change from baseline

i have a 10 samples with baseline and follow up scores. I need to calculate a percentage increase or decrease based on the scoring scale, in this case its 0-56, and the objective (whether the ...
1answer
20 views

### Statistic to measure no.of cancelled members

These percentages indicate how many male vs female members cancelled a subscription we offer. Male Female 22% 13% Looking at the ...
0answers
18 views

### How to create a scale combining normalized percentile scores to get an overall result

I am trying to work out a scale for assessing a person’s risk for a particular behavior (like rob a bank). The likelihood of this behavior occurring or not occurring will be based on scores for a ...
0answers
32 views

### How do I convert a survey scale [7-point, -3 to 3] to a 7-point scale [1-7]?

I am working with a survey scale that is from -3 to 3. I have a mean value of .94 and I want to identify if there are ceiling effects, but I need to change the entire scale to 1-7 in order to ...
0answers
23 views

### Interaction effects for independent variables in percentages

If the Independent variables are in percentages, then will it make sense to calculate interaction effects using the original figures? or do I need to make any changes?
1answer
15 views

### Regression equation using percentage values in R : Request your help for a beginner

Can percentage values be independant variables? Can I use then as it is, or do I need to take log. And also if I have to consider interaction effects when independent variables are percentages, how ...
1answer
61 views

### Comparing percentages based on likert scale by year

I'm reviewing an analysis someone else has done on some Likert scale data. They've assigned each point on the scale 1-5 (1 = bad, 2 = poor etc.), found the average score in each area, and then ...
0answers
47 views

### Modelling percentage and proportion data with GLM's [duplicate]

I would like a simple answer, if there is one, to a question I cannot seem to find on here. What is the best way to model percentages? Say I have a glass that is empty and I fill it with liquid ...
0answers
13 views

### Average percentages [duplicate]

Hi I am trying to average percentages but what each percentage represents is not equal. The 5 numbers are : 100%, 0%, 0%, 20%, 75% 100% represents 4 items 20% represents 10 items 75% ...
1answer
66 views

### Modelling a percentge as a dependent variable

I have a dataset containing 4 variables: Y - the dependent variable. This is a percentage of students in a school that choose to take an external exam. The values vary from 20% to 70%. X - the ...
1answer
51 views

### Is it reasonable to display “percentage data” in a boxplot, why?

I have data that are in fact percentages of C (bound to clay) combusted in a certain temperature interval. Exemplary data: ...
0answers
5 views

### What model should I use if I want to describe the relationship between the % and binary outcome

I want to model a relationship between the % of students who received a flu vaccine at a certain school and whether their school had a flu outbreak or not. Thanks
1answer
38 views

### What statistics test to compare the repartition of multiple choices between two groups?

I made an experiment about UX where the participant has to detect among five differents configurations the one that he prefers. The configurations are slightly different and are presented randomly 3 ...
0answers
20 views

### Comparing percentages from survey results with different response rate

I have to compare survey results based on a questionnaire floated. Out of total 50 questions, A responded for 40 questions. Out of 40 questions responded, answer for 30 questions are Yes. Out of ...
1answer
150 views

### On average of percents

I have read some pages about how to calculate the average of percents. However, still I don't understand something... Assume data points are organized in the following manner: We have two categories ...
0answers
20 views

### regression with percentage DV and multiple dummy IV

I am running a market analysis about e-mail responses for my marketing class. I have the following data entries: Observations: 400 different sequences of e-mails where sent to different target ...
1answer
67 views

### How to standardize count data for different sampling site sizes

I want to do a linear regression for my data but I’m not sure what I need to do with my raw data before running a linear regression. I have counts for species in several forests of differing sizes. I ...
1answer
73 views

### Difference in Quantile and cumulative percentage

How would you differentiate between the quantile function and cumulative percentage below? Note the treatment of numerics as categorical when grouping is performed. When would you use one over the ...
0answers
27 views

1answer
69 views

### Do equal percentage changes mean perfect correlation?

Consider two datasets, say time series $\{X(t),Y(t)|t\geq0\}$, and that the two experience an equal percentage change from one period to the next for all time. That is, if there is an $\alpha \%$ ...