Not only are they using mass spec to get vastly more accurate results than the old radiodecay method, but they are using statistics to eliminate problems with the wiggle graph that comes out of the correlation with dendrochronology. Scientists have combined short lived samples, such as grasses and seeds, if they have enough, to get dates for the start and end of the Kingdoms of Egypt. They get +/- 13 years for the New Kingdom, vastly more accurate than they can get from a single sample.
I was able to combine their results with the Heliacal rising of Sothis, the Eclipse of Mursili, and the lunar dates to get a great set of dates for the New Kingdom Pharaohs. They are sometimes closer to the middle dates and sometimes the lower. It does eliminate the alternate dates for each of these events. Only one set of dates fits all of these points. This C14 work is great.
They give dates for the New Kingdom Pharaohs, but all that I understand is that they dated the start and end of the New Kingdom, using a Bayesian model.
I came up with slightly different dates for the various New Kingdom Pharaohs using the other absolute dates (Sothis, Eclipse, Lunar.) Of course, I then went on to use these C14 dates to verify the Bible.
If the C14 absolute dates are right, then it should agree with other absolute dates. The Start of the New Kingdom is 1557 BC=/-13 years. I used 1552 for Ahmose. Then there were two possible dates for the Sothic date of Amenhotep I, 1546 or 1526. I used the ~1526 date. The Sothic obs can be +/-3y, so I used 1527. Thuthose III lunar sightings give the start of his reign as either 1504 or 1479. 1479 fit. Mursili's Eclipse was either 1312 or 1308 BC. 1312 lead to the death of Tutankhamon in 1326 BC. Then Lunar sightings in Rameses II calculate the start of his reign as 1304 or 1279. 1279 is the date. Finally they calculated the end of the New kingdom as 1113 BC +/- 13 y. I got 1103. I used the various most commonly accepted lengths of each Pharaoh's reign and tried different combinations. I was not able to get alternate dates for these other astronomical events to all work. These choices do work, and show that C14 dating is supported by astronomical absolute dating in addition to the other methods.