The cheapest and most common way is to use the Barnes Basal Temperature Test (BBTT). This simply requires a thermometer for the recording of your body temperature, ideally in bed after waking in the morning under your left arm pit.
The thyroid, and its hormones, controls your body's metabolic rate which influences body temperature. So, measuring your body temperature over a period of 10 consecutive days gives a basic idea of metabolic rate and thus - thyroid function. If your basal body temperature is consistently, and significantly, lower than normal (97°F (36.1°C) to 99°F (37.2°C) - then you may have reason to see your doctor to investigate for hypothyroidism via TSH, T4, and T3 blood testing.
It should be noted that every person's normal basal metabolic rate and temperature can vary quite considerably. So, the measuring of temperature and the BBTT are just a crude first step you can do at home if you suspect hypothyroidism.
Also, in recent years a large number of commercial labs have sprung up offering thyroid testing using test kits that can be ordered online and delivered to your door. You then collect samples and mail them back to the lab for analysis. Again, the accuracy of these tests is up for debate and prices vary. If you use this route just make sure the lab is well-known and has all the proper accreditations in your country / region.
So, you can take these initial steps at home if you wish but if you genuinely suspect you are suffering from hypothyroidism then the best advice is to make an appointment with your doctor. Just remember T3 is important - so ask for this to be included in any blood tests.
If you are going through hell, keep going - Winston Churchill
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