735 views

### How to estimate mean and variance of censored normal? [duplicate]

Supposing I have data which I know is normally distributed, but because the recording process is right censored, how do I estimate the parameters of the distribution?
420 views

### Estimate parameters from truncated normal sample [duplicate]

I have a question like this, $X \sim N(\mu,\sigma^2)$ with unknown parameters. Now, a sample of size $m$ generated from X, but filter by X < T, i.e., any number larger than T will be ignored and ...
219 views

### Derivation of the censoring likelihood function? [duplicate]

The (right-) censoring of likelihood function is defined as: $$L(\theta) = \prod_{i=1}^m f(x_i;\theta) \cdot \prod_{i=m+1}^n P_{\theta}(X_j>a)$$ where observations $x_i$, $i=1,...,m$ have ...
29 views

### How to include number of not-yet-decayed radioactive atoms in MLE? [duplicate]

Since this question received absolutely zero attention, here's a complete rephrase with the aim of significantly shortening it. I have a potful of $n$ radioactive atoms. I spend $t_\text{max}$ = 1 ...
6k views

### Linear regression not fitting well

I do a linear regression using R lm function: x = log(errors) plot(x,y) lm.result = lm(formula = y ~ x) abline(lm.result, col="blue") # showing the "fit" in blue ...
13k views

### What exactly are censored data?

I have read different descriptions of censored data: A) As explained in this thread, unquantified data below or above a certain threshold is censored. Unquantified means data is above or below a ...
23k views

### How to judge if 5 point Likert scale data are normally distributed?

I have read that the t-test is used when the population is normally distributed. How can I determine if my data are normal given that I am using 5-point Likert scale with a sample size of 100? What ...
4k views

### Does this graph support the assumption of homoscedasticity?

I do not quite understand when a graph shows homoscedasticity. Can someone please explain this to me with the help of the plot I provided?
768 views

### Modelling when the dependent variable has a “cut-off”

Apologies in advance if any of the terminology I use is incorrect. I'd welcome any correction. If what I describe as a "cut-off" goes by a different name, let me know and I can update the question. ...
9k views

### Appropriate regression model when dependent variable is between 0 and 1?

I am performing a regression where my dependent variable is the value of a group's Simpson Diversity Index. This index value is constrained by $1/k$ and $1$ (where $k$ is the number of classes), ...
3k views

### extremely left-skewed response variable - how do I model this dataset?

This is a histogram showing my response variable. The response is # (or proportion? or percent?) of aphids eaten off of cards in fields, to model predation by natural enemies. Predictors: fixed ...
552 views

### How to model number of days in the last week smoking cigarettes (0 to 7 - 'U' shaped)?

I am currently analysing data where the outcome variable is 'U' shaped. The outcome variable asks 'how many of the last seven days have you smoked'. Most responses to this fall in the first (none) and ...
508 views

### Fitting distributions on censored data

My question deals with fitting distributions on censored data; for the purposes of clarity, we can consider a continuous distribution which is both left and right-censored. In such a case, the ...