I have done an experiment using luminex technique, measuring 46 analytes. but my sample size is less (N=6, for case and control each). However, i have put up the experimental set in duplicates. Can I use duplicates for the statistical analysis?
Yes, you can use technical replicates for statistical analysis of multiplex cytokine data, but it's important to understand their role and limitations. Technical replicates are multiple measurements of the same sample to assess the precision and reproducibility of the assay. Here are some key considerations:Purpose of Technical Replicates:Precision: Technical replicates help to estimate the variability within the assay and ensure the reliability of the measurements.Assay Validation: They are essential for validating the assay, identifying potential technical errors, and ensuring consistency.Statistical Analysis Considerations:Aggregation: Technical replicates are often averaged to obtain a single value for each sample. This reduces the impact of random technical variability and allows for more robust comparisons between biological replicates or experimental groups.Incorporating Variability: If the variability within technical replicates is high, it may indicate issues with the assay. This variability should be accounted for in the statistical analysis, sometimes using mixed models that include technical replicate variability as a random effect.Biological vs. Technical Replicates: While technical replicates assess assay precision, biological replicates (different samples from the same biological condition) are crucial for making inferences about biological variability. Statistical tests should primarily focus on biological replicates, with technical replicates helping to refine the measurements.Analysis Methods:Descriptive Statistics: Calculate the mean, standard deviation, and coefficient of variation for technical replicates to assess assay precision.ANOVA/Mixed Models: When combining technical and biological replicates, use mixed models to separate technical variability from biological variability. This approach provides a more accurate estimation of true biological differences.Quality Control: Regularly assess the performance of the assay using control samples and technical replicates. High consistency among technical replicates indicates reliable assay performance.
If you were interested in comparing methods/assays/instruments, technical variation would be of interest.
Assuming that you are interested in the biology, technical variation is just another disturbing source of variance, that, luckily, can be reduced by averaging the measurements from technical replicates. It is often the simplest solution to average these values manually before you start analyzing the biological question. However, you can also used more sophisticated statistical tools (e.g. mixed models) to let them do the averaging automatically. This will give you additional information about the technical variation that you probably won't need for anything, and gives identical results for the biological questions.
You should not just use the technical replicates as if these were measurements from independent biological specimens/samples. This would be called "pseudoreplication". This would pretend the test having more independent information than it actually has, leading to an underestimation of standard errors and an overestimate of the statistical significance of biological variations.
First of all, congratulations on your research and good luck! Now, regarding your question, I don't think the current data is sufficient for a thorough biological interpretation. Given the small sample size, and assuming you have many wells left in your luminex assay kit, I recommend you to repeat your experiment with at least three technical and biological replicates. Since, Luminex analyzes the data automatically with its xPONENT software, this would be quite straightforward.
Moreover, Bead count is also an important aspect for any multiplex assay,
can you tell me the minimum bead count you achieve with your assay?