What statistical test uses statsmodel to calculate significance? - statistics

I need to say in a report the type of correlation test I performed to the data. I used statsmodel to fit a quadratic equation but I can't seem to find what statistical test does statsmodel use to calculate the p-value (ANOVA?).
I hope someone could point me in the right direction.

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Calculate partial correlation from path analysis (Structural Equation Model)

I am wondering how I can calculate the partial correlation coefficient using path coefficient in path analysis. The equation of calculating partial correlation coefficient from multivariate regression is shown in the picture.
Does anyone know how to calculate partial correlation coefficient from path analysis (with citaion if there is any resources)? I am attaching one example of the path analysis.
Thanks everyone, highly apprecitate your knowledge and wisdom.
I am wondering whehter the method will be the same?? I read that path coefficient is standardized regression coefficient. So I think if it is true, the calculation equation should be the same?

Does SciKit Have A InHouse Function That Tallies The Accuracy For Each Y Solution?

I have LinearSVC algorithm that predicts some data for stock. It has a 90% acc rating, but I think this might be due to the fact that some y's are far more likely than others. I want to see if there is a way to see if for each y I've defined, how accurately that y was predicted.
I haven't seen anything like this in the docs, but it just makes sense to have it.
If what your really want is a measure of confidence rather than actual probabilities, you can use the method LinearSVC.decision_function(). See the documentation or the probability calibration CalibratedClassifierCV using this documentation.
You can use a confusion matrix representation implemented in SciKit to generate an accuracy matrix between the predicted and real values of your classification problem for each individual attribute. The diagonal represents the raw accuracy, which can easily be converted to a percentage accuracy.

What are the algorithms used in the pROC package for ROC analysis?

I am trying to figure out what algorithms are used within the pROC package to conduct ROC analysis. For instance what algorithm corresponds to the condition 'algorithm==2'? I only recently started using R in conjunction with Python because of the ease of finding CI estimates, significance test results etc. My Python code uses Linear Discriminant Analysis to get results on a binary classification problem. When using the pROC package to compute confidence interval estimates for AUC, sensitivity, specificity, etc., all I have to do is load my data and run the package. The AUC I get when using pROC is the same as the AUC that is returned by my Python code that uses Linear Discriminant Analysis (LDA). In order to be able to report consistent results I am trying to find out if LDA is one of the algorithm choices within pROC? Any ideas on this or how to go about figuring this out would be very helpful. Where can I access the source code for pROC?
The core algorithms of pROC are described in a 2011 BMC Bioinformatics paper. Some algorithms added later are described in the PDF manual. As every CRAN package, the source code is available from the CRAN package page. As many R packages these days it is also on GitHub.
To answer your question specifically, unfortunately I don't have a good reference for the algorithm to calculate the points of the ROC curve with algorithm 2. By looking at it you will realize it is ultimately equivalent to the standard ROC curve algorithm, albeit more efficient when the number of thresholds increases, as I tried to explain in this answer to a question on Cross Validated. But you have to trust me (and most packages calculating ROC curves) on it.
Which binary classifier you use, whether LDA or other, is irrelevant to ROC analysis, and outside the scope of pROC. ROC analysis is a generic way to assesses predictions, scores, or more generally signal coming out of a binary classifier. It doesn't assess the binary classifier itself, or the signal detector, only the signal itself. This makes it very easy to compare different classification methods, and is instrumental to the success of ROC analysis in general.

what is the concordance index (c-index)?

I am relatively new in statistics and I need some help with some basic concepts,
could somebody explain the following questions relative to the c-index?
What is the c-index?
Why is it used over other methods?
The c-index is "A measure of goodness of fit for binary outcomes in a logistic regression model."
The reason we use the c-index is because we can predict more accurately whether a patient has a condition or not.
The C-statistic is actually NOT used very often as it only gives you a general idea about a model; A ROC curve contains much more information about accuracy, sensitivity and specificity.
ROC curve

Python AUC Calculation for Unsupervised Anomaly Detection (Isolation Forest, Elliptic Envelope, ...)

I am currently working in anomaly detection algorithms. I read papers comparing unsupervised anomaly algorithms based on AUC values. For example i have anomaly scores and anomaly classes from Elliptic Envelope and Isolation Forest. How can i compare these two algorithms based on AUC values.
I am looking for a python code example.
Thanks
Problem solved. Steps i done so far;
1) Gathering class and score after anomaly function
2) Converting anomaly score to 0 - 100 scale for better compare with different algorihtms
3) Auc requires this variables to be arrays. My mistake was to use them like Data Frame column which returns "nan" all the time.
Python Script:
#outlier_class and outlier_score must be array
fpr,tpr,thresholds_sorted=metrics.roc_curve(outlier_class,outlier_score)
aucvalue_sorted=metrics.auc(fpr,tpr)
aucvalue_sorted
Regards,
Seçkin Dinç
Although you already solved your problem, my 2 cents :)
Once you've decided which algorithmic method to use to compare them (your "evaluation protocol", so to say), then you might be interested in ways to run your challengers on actual datasets.
This tutorial explains how to do it, based on an example (comparing polynomial fitting algorithms on several datasets).
(I'm the author, feel free to provide feedback on the github page!)

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