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 Satellite show little to no warming in the troposphere
What the science says...From 1978, a series of satellites have measured atmospheric temperature in the troposphere and stratosphere. The data is spliced together and adjusted for time-dependent biases by the University of Alabama in Huntsville (UAH), headed by John Christy and Roy Spencer. The initial results showed a warming trend of only 0.09°C per decade, well below the surface temperature trend of 0.17°C per decade. Climate models predict the troposphere should show greater warming than the surface. UAH versus RSSIn November 2005, Carl Mears and Frank Wentz at Remote Sensing Systems (RSS) performed an independent analysis of the satellite data. In the process, they found an algebraic error in the UAH analysis. With the correction made, the UAH trend was now 0.12°C per decade - larger but still less than the surface trend. However, RSS released their own results based on their data analysis - a trend of 0.19°C per decade.
Correcting for diurnal driftPart of the discrepancy between UAH and RSS was the methods used to splice the data from different satellites together. However, the major source of discrepancy was the way they corrected for diurnal drift (Mears et al 2005). The satellites orbit the earth from pole to pole. The satellites possess no propulsion so slowly over time, the local equator crossing time (LECT) changes. This is exacerbated by decay of the satellites orbital height, dragged down by the thin atmosphere. As a satellite's LECT changes, it takes readings at changing local times, allowing local diurnal cycle variations to appear as spurious trends (Christy et al 2000). UAH and RSS employed different methods to adjust for diurnal drift and the results are radically different.
So where does that leave us? An "Executive Summary" by the U.S. Climate Change Science Program, co-authored by John Christy of UAH concludes: "Previously reported discrepancies between the amount of warming near the surface and higher in the atmosphere have been used to challenge the reliability of climate models and the reality of human induced global warming. This significant discrepancy no longer exists because errors in the satellite and radiosonde data have been identified and corrected. While these data are consistent with the results from climate models at the global scale, discrepancies in the tropics remain to be resolved. In other words, according to UAH, satellite measurements match the models apart from in the tropics. This error is most likely due to data errors. According to RSS, satellites are in good agreement with models. Further reading
Where Bob Carter got his dataWhen I emailed Bob Carter querying about his data in the article above, this was his reply (28 Jun 2007): "By mistake the graph that was reproduced in the Telegraph article was for the middle troposphere. Though it does not materially affect the argument or conclusions, I am embarrassed by it because it can be made to look as if I was pulling a swiftie - which I wasn't (intending to)." I'll take Carter at his word that it was an honest mistake, although I've noticed he continues to state satellites show little to no tropospheric warming.
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Satellite measurements indicate an absence of significant global warming since 1979, the very period that human carbon dioxide emissions have been increasing rapidly. The satellite data signal not only the absence of substantial human-induced warming but also provide an empirical test of the greenhouse hypothesis - a test that the hypothesis fails (source: 
The skeptic argument...