Write a brief overviews of the following areas, what is it and what purpose does it serve:
What is SQC?
What is TPI?
What is PM?
What is Correlation schemes?
What is Internal auditing?
What is NOC?
What is QI?
What is NCPR?
For example you can define as: SQC is the statistical tool to ensure the quality of product or service provided by continuous monitoring of product or service against approved/agreed quality.

In Lab SQC which is abbreviation of Statistical Quality Control. Meaning put a process in place to monitor the quality of analysis we produce by collecting 24 data point of a representative sample . For example if we want to monitor the DGA concentration analysis. we have to collect a sample from any of Unit 731 to 734 and perform the DGA analysis over period of time across each shift to get the results for different Technician. After collection of 24 data we have to calculate the sigma, 2 sigma and 3 sigma for upper and lower limits
Once SQC Chart created electronically in the system with all sigma and moving range. Technician will do the analysis and monitor against the run rules
For SQC refer to email which I sent to you earlier and reminder now. See ASTM D6299 for SQC in detail
There are 8 run rules for SQC monitoring which I mention in the QC/QA presentation which I sent to you.

Please go to the presentation for further detail regarding SQC run rules.

Next is TPI

TPI is the Test Performance index.
test performance index (TPI), n—an approximate measure of a laboratory’s testing capability, defined as the ratio of test method reproducibility to site precision.
​Refer to ASTM D 6792 for TPI
​However it can be calculated as under: Test Performance Index (TPI)= Test Method Reproducibility/ Site Precision.
Site Precision can be calculated as: site precision (R8), n—the value below which the absolute difference between two individual test results obtained under site precision conditions may be expected to occur with a probability of approximately 0.95 (95 %). It is defined as 2.77 times the standard deviation of results obtained under site precision conditions.

Site Precision=2.77*Standard Deviation of the analysis
So TPI=Test Method Reproducibility/2.77*Standard Deviation

For a published standard test method with a PR less than 4 the following TPI criteria should be applied. A TPI greater than 1.2 indicates that the performance is probably satisfactory relative to ASTM published precision. A TPI greater than or equal to 0.8 and less than or equal to 1.2 indicated performance may be marginal and the laboratory should consider method review for improvement. A TPI less than 0.8 suggests that the method as practiced at this site is not consistent with the ASTM published precision. Either laboratory method performance improvement is required, or ASTM published precision does not reflect achievable precision. Existing interlaboratory exchange performance (if available) should be reviewed to determine if the latter is plausible.
It means that TPI index if >1.2 the lab performance is satisfactory and within the Precision of Standard method.
For more detail refer to ASTM D6792 for TPI

Next is correlation sample , which is the inter laboratory testing scheme like Fapas or IIS. In this international organization arrange samples of interest and different lab participate in the program and z-score of each lab evalute to rate their perfromance
NOC is Notification of Change

When ever there is any change in procedure or schedule or any thing in the lab which need to communicate .It should be via NOC

QI stand for Quality investigation to investigate any quality incident in which any breach of quality investigated to find out the root cause
NCPR is Non Conformance Product Report
Internal Audit is the audit which done by internally to follow the Plan, do, act and Check cycle for quality assurance.
It mean we have to check internally that all procedures are valid and update and we are following to get the purpose.
High light any observation for improvement within the lab